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Simplifying 2(c + -4) = 3(c + -7) Reorder the terms: 2(-4 + c) = 3(c + -7) (-4 * 2 + c * 2) = 3(c + -7) (-8 + 2c) = 3(c + -7) Reorder the terms: -8 + 2c = 3(-7 + c) -8 + 2c = (-7 * 3 + c * 3) -8 + 2c = (-21 + 3c) Solving -8 + 2c = -21 + 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 = -21 + 3c + -3c Combine like terms: 2c + -3c = -1c -8 + -1c = -21 + 3c + -3c Combine like terms: 3c + -3c = 0 -8 + -1c = -21 + 0 -8 + -1c = -21 Add '8' to each side of the equation. -8 + 8 + -1c = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = -21 + 8 -1c = -21 + 8 Combine like terms: -21 + 8 = -13 -1c = -13 Divide each side by '-1'. c = 13 Simplifying c = 13
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