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Simplifying 28(9c + -1) + -12 = 160c + 18 Reorder the terms: 28(-1 + 9c) + -12 = 160c + 18 (-1 * 28 + 9c * 28) + -12 = 160c + 18 (-28 + 252c) + -12 = 160c + 18 Reorder the terms: -28 + -12 + 252c = 160c + 18 Combine like terms: -28 + -12 = -40 -40 + 252c = 160c + 18 Reorder the terms: -40 + 252c = 18 + 160c Solving -40 + 252c = 18 + 160c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-160c' to each side of the equation. -40 + 252c + -160c = 18 + 160c + -160c Combine like terms: 252c + -160c = 92c -40 + 92c = 18 + 160c + -160c Combine like terms: 160c + -160c = 0 -40 + 92c = 18 + 0 -40 + 92c = 18 Add '40' to each side of the equation. -40 + 40 + 92c = 18 + 40 Combine like terms: -40 + 40 = 0 0 + 92c = 18 + 40 92c = 18 + 40 Combine like terms: 18 + 40 = 58 92c = 58 Divide each side by '92'. c = 0.6304347826 Simplifying c = 0.6304347826
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