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Simplifying 4(c + -8) = 3(c + -1) Reorder the terms: 4(-8 + c) = 3(c + -1) (-8 * 4 + c * 4) = 3(c + -1) (-32 + 4c) = 3(c + -1) Reorder the terms: -32 + 4c = 3(-1 + c) -32 + 4c = (-1 * 3 + c * 3) -32 + 4c = (-3 + 3c) Solving -32 + 4c = -3 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -32 + 4c + -3c = -3 + 3c + -3c Combine like terms: 4c + -3c = 1c -32 + 1c = -3 + 3c + -3c Combine like terms: 3c + -3c = 0 -32 + 1c = -3 + 0 -32 + 1c = -3 Add '32' to each side of the equation. -32 + 32 + 1c = -3 + 32 Combine like terms: -32 + 32 = 0 0 + 1c = -3 + 32 1c = -3 + 32 Combine like terms: -3 + 32 = 29 1c = 29 Divide each side by '1'. c = 29 Simplifying c = 29
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