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Simplifying 3(-1 + -2c) + -1c = 8(2c + -9) (-1 * 3 + -2c * 3) + -1c = 8(2c + -9) (-3 + -6c) + -1c = 8(2c + -9) Combine like terms: -6c + -1c = -7c -3 + -7c = 8(2c + -9) Reorder the terms: -3 + -7c = 8(-9 + 2c) -3 + -7c = (-9 * 8 + 2c * 8) -3 + -7c = (-72 + 16c) Solving -3 + -7c = -72 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. -3 + -7c + -16c = -72 + 16c + -16c Combine like terms: -7c + -16c = -23c -3 + -23c = -72 + 16c + -16c Combine like terms: 16c + -16c = 0 -3 + -23c = -72 + 0 -3 + -23c = -72 Add '3' to each side of the equation. -3 + 3 + -23c = -72 + 3 Combine like terms: -3 + 3 = 0 0 + -23c = -72 + 3 -23c = -72 + 3 Combine like terms: -72 + 3 = -69 -23c = -69 Divide each side by '-23'. c = 3 Simplifying c = 3
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