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Simplifying 15(3c + -9) = 7c + -2 Reorder the terms: 15(-9 + 3c) = 7c + -2 (-9 * 15 + 3c * 15) = 7c + -2 (-135 + 45c) = 7c + -2 Reorder the terms: -135 + 45c = -2 + 7c Solving -135 + 45c = -2 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -135 + 45c + -7c = -2 + 7c + -7c Combine like terms: 45c + -7c = 38c -135 + 38c = -2 + 7c + -7c Combine like terms: 7c + -7c = 0 -135 + 38c = -2 + 0 -135 + 38c = -2 Add '135' to each side of the equation. -135 + 135 + 38c = -2 + 135 Combine like terms: -135 + 135 = 0 0 + 38c = -2 + 135 38c = -2 + 135 Combine like terms: -2 + 135 = 133 38c = 133 Divide each side by '38'. c = 3.5 Simplifying c = 3.5
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