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Simplifying -8(c + -10) = -1(c + -3) Reorder the terms: -8(-10 + c) = -1(c + -3) (-10 * -8 + c * -8) = -1(c + -3) (80 + -8c) = -1(c + -3) Reorder the terms: 80 + -8c = -1(-3 + c) 80 + -8c = (-3 * -1 + c * -1) 80 + -8c = (3 + -1c) Solving 80 + -8c = 3 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 80 + -8c + c = 3 + -1c + c Combine like terms: -8c + c = -7c 80 + -7c = 3 + -1c + c Combine like terms: -1c + c = 0 80 + -7c = 3 + 0 80 + -7c = 3 Add '-80' to each side of the equation. 80 + -80 + -7c = 3 + -80 Combine like terms: 80 + -80 = 0 0 + -7c = 3 + -80 -7c = 3 + -80 Combine like terms: 3 + -80 = -77 -7c = -77 Divide each side by '-7'. c = 11 Simplifying c = 11
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