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Simplifying -4(3c + -4) + -12(c + -2) = c + 7(c + 8) Reorder the terms: -4(-4 + 3c) + -12(c + -2) = c + 7(c + 8) (-4 * -4 + 3c * -4) + -12(c + -2) = c + 7(c + 8) (16 + -12c) + -12(c + -2) = c + 7(c + 8) Reorder the terms: 16 + -12c + -12(-2 + c) = c + 7(c + 8) 16 + -12c + (-2 * -12 + c * -12) = c + 7(c + 8) 16 + -12c + (24 + -12c) = c + 7(c + 8) Reorder the terms: 16 + 24 + -12c + -12c = c + 7(c + 8) Combine like terms: 16 + 24 = 40 40 + -12c + -12c = c + 7(c + 8) Combine like terms: -12c + -12c = -24c 40 + -24c = c + 7(c + 8) Reorder the terms: 40 + -24c = c + 7(8 + c) 40 + -24c = c + (8 * 7 + c * 7) 40 + -24c = c + (56 + 7c) Reorder the terms: 40 + -24c = 56 + c + 7c Combine like terms: c + 7c = 8c 40 + -24c = 56 + 8c Solving 40 + -24c = 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. 40 + -24c + -8c = 56 + 8c + -8c Combine like terms: -24c + -8c = -32c 40 + -32c = 56 + 8c + -8c Combine like terms: 8c + -8c = 0 40 + -32c = 56 + 0 40 + -32c = 56 Add '-40' to each side of the equation. 40 + -40 + -32c = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -32c = 56 + -40 -32c = 56 + -40 Combine like terms: 56 + -40 = 16 -32c = 16 Divide each side by '-32'. c = -0.5 Simplifying c = -0.5
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