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Simplifying -70 + -5(f + 2) = 2(f + -5) Reorder the terms: -70 + -5(2 + f) = 2(f + -5) -70 + (2 * -5 + f * -5) = 2(f + -5) -70 + (-10 + -5f) = 2(f + -5) Combine like terms: -70 + -10 = -80 -80 + -5f = 2(f + -5) Reorder the terms: -80 + -5f = 2(-5 + f) -80 + -5f = (-5 * 2 + f * 2) -80 + -5f = (-10 + 2f) Solving -80 + -5f = -10 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -80 + -5f + -2f = -10 + 2f + -2f Combine like terms: -5f + -2f = -7f -80 + -7f = -10 + 2f + -2f Combine like terms: 2f + -2f = 0 -80 + -7f = -10 + 0 -80 + -7f = -10 Add '80' to each side of the equation. -80 + 80 + -7f = -10 + 80 Combine like terms: -80 + 80 = 0 0 + -7f = -10 + 80 -7f = -10 + 80 Combine like terms: -10 + 80 = 70 -7f = 70 Divide each side by '-7'. f = -10 Simplifying f = -10
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