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Simplifying 3c + 6(2c + -5) = 8(c + -4) Reorder the terms: 3c + 6(-5 + 2c) = 8(c + -4) 3c + (-5 * 6 + 2c * 6) = 8(c + -4) 3c + (-30 + 12c) = 8(c + -4) Reorder the terms: -30 + 3c + 12c = 8(c + -4) Combine like terms: 3c + 12c = 15c -30 + 15c = 8(c + -4) Reorder the terms: -30 + 15c = 8(-4 + c) -30 + 15c = (-4 * 8 + c * 8) -30 + 15c = (-32 + 8c) Solving -30 + 15c = -32 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -30 + 15c + -8c = -32 + 8c + -8c Combine like terms: 15c + -8c = 7c -30 + 7c = -32 + 8c + -8c Combine like terms: 8c + -8c = 0 -30 + 7c = -32 + 0 -30 + 7c = -32 Add '30' to each side of the equation. -30 + 30 + 7c = -32 + 30 Combine like terms: -30 + 30 = 0 0 + 7c = -32 + 30 7c = -32 + 30 Combine like terms: -32 + 30 = -2 7c = -2 Divide each side by '7'. c = -0.2857142857 Simplifying c = -0.2857142857
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