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Simplifying 4(3c + -4) + -12(-2) = c + 7(c + 8) Reorder the terms: 4(-4 + 3c) + -12(-2) = c + 7(c + 8) (-4 * 4 + 3c * 4) + -12(-2) = c + 7(c + 8) (-16 + 12c) + -12(-2) = c + 7(c + 8) Multiply -12 * -2 -16 + 12c + 24 = c + 7(c + 8) Reorder the terms: -16 + 24 + 12c = c + 7(c + 8) Combine like terms: -16 + 24 = 8 8 + 12c = c + 7(c + 8) Reorder the terms: 8 + 12c = c + 7(8 + c) 8 + 12c = c + (8 * 7 + c * 7) 8 + 12c = c + (56 + 7c) Reorder the terms: 8 + 12c = 56 + c + 7c Combine like terms: c + 7c = 8c 8 + 12c = 56 + 8c Solving 8 + 12c = 56 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 8 + 12c + -8c = 56 + 8c + -8c Combine like terms: 12c + -8c = 4c 8 + 4c = 56 + 8c + -8c Combine like terms: 8c + -8c = 0 8 + 4c = 56 + 0 8 + 4c = 56 Add '-8' to each side of the equation. 8 + -8 + 4c = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 4c = 56 + -8 4c = 56 + -8 Combine like terms: 56 + -8 = 48 4c = 48 Divide each side by '4'. c = 12 Simplifying c = 12
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