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Simplifying 3(6c + -2) = 4(10c + -7) Reorder the terms: 3(-2 + 6c) = 4(10c + -7) (-2 * 3 + 6c * 3) = 4(10c + -7) (-6 + 18c) = 4(10c + -7) Reorder the terms: -6 + 18c = 4(-7 + 10c) -6 + 18c = (-7 * 4 + 10c * 4) -6 + 18c = (-28 + 40c) Solving -6 + 18c = -28 + 40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. -6 + 18c + -40c = -28 + 40c + -40c Combine like terms: 18c + -40c = -22c -6 + -22c = -28 + 40c + -40c Combine like terms: 40c + -40c = 0 -6 + -22c = -28 + 0 -6 + -22c = -28 Add '6' to each side of the equation. -6 + 6 + -22c = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -22c = -28 + 6 -22c = -28 + 6 Combine like terms: -28 + 6 = -22 -22c = -22 Divide each side by '-22'. c = 1 Simplifying c = 1
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