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Simplifying 2(c + -5) = 3(c + -6) Reorder the terms: 2(-5 + c) = 3(c + -6) (-5 * 2 + c * 2) = 3(c + -6) (-10 + 2c) = 3(c + -6) Reorder the terms: -10 + 2c = 3(-6 + c) -10 + 2c = (-6 * 3 + c * 3) -10 + 2c = (-18 + 3c) Solving -10 + 2c = -18 + 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. -10 + 2c + -3c = -18 + 3c + -3c Combine like terms: 2c + -3c = -1c -10 + -1c = -18 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + -1c = -18 + 0 -10 + -1c = -18 Add '10' to each side of the equation. -10 + 10 + -1c = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1c = -18 + 10 -1c = -18 + 10 Combine like terms: -18 + 10 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8
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