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Simplifying 2(5c + -1) + -6 = 3(c + -7) + -14 Reorder the terms: 2(-1 + 5c) + -6 = 3(c + -7) + -14 (-1 * 2 + 5c * 2) + -6 = 3(c + -7) + -14 (-2 + 10c) + -6 = 3(c + -7) + -14 Reorder the terms: -2 + -6 + 10c = 3(c + -7) + -14 Combine like terms: -2 + -6 = -8 -8 + 10c = 3(c + -7) + -14 Reorder the terms: -8 + 10c = 3(-7 + c) + -14 -8 + 10c = (-7 * 3 + c * 3) + -14 -8 + 10c = (-21 + 3c) + -14 Reorder the terms: -8 + 10c = -21 + -14 + 3c Combine like terms: -21 + -14 = -35 -8 + 10c = -35 + 3c Solving -8 + 10c = -35 + 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. -8 + 10c + -3c = -35 + 3c + -3c Combine like terms: 10c + -3c = 7c -8 + 7c = -35 + 3c + -3c Combine like terms: 3c + -3c = 0 -8 + 7c = -35 + 0 -8 + 7c = -35 Add '8' to each side of the equation. -8 + 8 + 7c = -35 + 8 Combine like terms: -8 + 8 = 0 0 + 7c = -35 + 8 7c = -35 + 8 Combine like terms: -35 + 8 = -27 7c = -27 Divide each side by '7'. c = -3.857142857 Simplifying c = -3.857142857
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