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Simplifying -5(7c + 12) + 18 = -7(4c + -11) Reorder the terms: -5(12 + 7c) + 18 = -7(4c + -11) (12 * -5 + 7c * -5) + 18 = -7(4c + -11) (-60 + -35c) + 18 = -7(4c + -11) Reorder the terms: -60 + 18 + -35c = -7(4c + -11) Combine like terms: -60 + 18 = -42 -42 + -35c = -7(4c + -11) Reorder the terms: -42 + -35c = -7(-11 + 4c) -42 + -35c = (-11 * -7 + 4c * -7) -42 + -35c = (77 + -28c) Solving -42 + -35c = 77 + -28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '28c' to each side of the equation. -42 + -35c + 28c = 77 + -28c + 28c Combine like terms: -35c + 28c = -7c -42 + -7c = 77 + -28c + 28c Combine like terms: -28c + 28c = 0 -42 + -7c = 77 + 0 -42 + -7c = 77 Add '42' to each side of the equation. -42 + 42 + -7c = 77 + 42 Combine like terms: -42 + 42 = 0 0 + -7c = 77 + 42 -7c = 77 + 42 Combine like terms: 77 + 42 = 119 -7c = 119 Divide each side by '-7'. c = -17 Simplifying c = -17
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