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solve for f. -8(14f + 16) + 16f = 8(-14f - 8) f =

Question

solve for f. -8(14f + 16) + 16f = 8(-14f - 8) f =

Explanation:

Step1: Expand both sides

Left side: $-8(14f + 16) + 16f = -112f - 128 + 16f = -96f - 128$
Right side: $8(-14f - 8) = -112f - 64$

Step2: Set up the equation

$-96f - 128 = -112f - 64$

Step3: Add 112f to both sides

$-96f + 112f - 128 = -64$
$16f - 128 = -64$

Step4: Add 128 to both sides

$16f = -64 + 128$
$16f = 64$

Step5: Divide both sides by 16

$f = \frac{64}{16}$
$f = 4$

Answer:

$4$