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Simplifying 7c + -15 = -2(6(c + -3) + -4(2 + -1c)) Reorder the terms: -15 + 7c = -2(6(c + -3) + -4(2 + -1c)) Reorder the terms: -15 + 7c = -2(6(-3 + c) + -4(2 + -1c)) -15 + 7c = -2((-3 * 6 + c * 6) + -4(2 + -1c)) -15 + 7c = -2((-18 + 6c) + -4(2 + -1c)) -15 + 7c = -2(-18 + 6c + (2 * -4 + -1c * -4)) -15 + 7c = -2(-18 + 6c + (-8 + 4c)) Reorder the terms: -15 + 7c = -2(-18 + -8 + 6c + 4c) Combine like terms: -18 + -8 = -26 -15 + 7c = -2(-26 + 6c + 4c) Combine like terms: 6c + 4c = 10c -15 + 7c = -2(-26 + 10c) -15 + 7c = (-26 * -2 + 10c * -2) -15 + 7c = (52 + -20c) Solving -15 + 7c = 52 + -20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20c' to each side of the equation. -15 + 7c + 20c = 52 + -20c + 20c Combine like terms: 7c + 20c = 27c -15 + 27c = 52 + -20c + 20c Combine like terms: -20c + 20c = 0 -15 + 27c = 52 + 0 -15 + 27c = 52 Add '15' to each side of the equation. -15 + 15 + 27c = 52 + 15 Combine like terms: -15 + 15 = 0 0 + 27c = 52 + 15 27c = 52 + 15 Combine like terms: 52 + 15 = 67 27c = 67 Divide each side by '27'. c = 2.481481481 Simplifying c = 2.481481481
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