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Simplifying 4(c + -2) = 7(c + 1) Reorder the terms: 4(-2 + c) = 7(c + 1) (-2 * 4 + c * 4) = 7(c + 1) (-8 + 4c) = 7(c + 1) Reorder the terms: -8 + 4c = 7(1 + c) -8 + 4c = (1 * 7 + c * 7) -8 + 4c = (7 + 7c) Solving -8 + 4c = 7 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -8 + 4c + -7c = 7 + 7c + -7c Combine like terms: 4c + -7c = -3c -8 + -3c = 7 + 7c + -7c Combine like terms: 7c + -7c = 0 -8 + -3c = 7 + 0 -8 + -3c = 7 Add '8' to each side of the equation. -8 + 8 + -3c = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -3c = 7 + 8 -3c = 7 + 8 Combine like terms: 7 + 8 = 15 -3c = 15 Divide each side by '-3'. c = -5 Simplifying c = -5
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