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Simplifying 3(c + -5) = 4(c + -8) Reorder the terms: 3(-5 + c) = 4(c + -8) (-5 * 3 + c * 3) = 4(c + -8) (-15 + 3c) = 4(c + -8) Reorder the terms: -15 + 3c = 4(-8 + c) -15 + 3c = (-8 * 4 + c * 4) -15 + 3c = (-32 + 4c) Solving -15 + 3c = -32 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -15 + 3c + -4c = -32 + 4c + -4c Combine like terms: 3c + -4c = -1c -15 + -1c = -32 + 4c + -4c Combine like terms: 4c + -4c = 0 -15 + -1c = -32 + 0 -15 + -1c = -32 Add '15' to each side of the equation. -15 + 15 + -1c = -32 + 15 Combine like terms: -15 + 15 = 0 0 + -1c = -32 + 15 -1c = -32 + 15 Combine like terms: -32 + 15 = -17 -1c = -17 Divide each side by '-1'. c = 17 Simplifying c = 17
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