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Simplifying 2(c + -4) = 3(c + -5) Reorder the terms: 2(-4 + c) = 3(c + -5) (-4 * 2 + c * 2) = 3(c + -5) (-8 + 2c) = 3(c + -5) Reorder the terms: -8 + 2c = 3(-5 + c) -8 + 2c = (-5 * 3 + c * 3) -8 + 2c = (-15 + 3c) Solving -8 + 2c = -15 + 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. -8 + 2c + -3c = -15 + 3c + -3c Combine like terms: 2c + -3c = -1c -8 + -1c = -15 + 3c + -3c Combine like terms: 3c + -3c = 0 -8 + -1c = -15 + 0 -8 + -1c = -15 Add '8' to each side of the equation. -8 + 8 + -1c = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = -15 + 8 -1c = -15 + 8 Combine like terms: -15 + 8 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7
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