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Simplifying 3(5c + -1) = 2(7c + -4) Reorder the terms: 3(-1 + 5c) = 2(7c + -4) (-1 * 3 + 5c * 3) = 2(7c + -4) (-3 + 15c) = 2(7c + -4) Reorder the terms: -3 + 15c = 2(-4 + 7c) -3 + 15c = (-4 * 2 + 7c * 2) -3 + 15c = (-8 + 14c) Solving -3 + 15c = -8 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -3 + 15c + -14c = -8 + 14c + -14c Combine like terms: 15c + -14c = 1c -3 + 1c = -8 + 14c + -14c Combine like terms: 14c + -14c = 0 -3 + 1c = -8 + 0 -3 + 1c = -8 Add '3' to each side of the equation. -3 + 3 + 1c = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 1c = -8 + 3 1c = -8 + 3 Combine like terms: -8 + 3 = -5 1c = -5 Divide each side by '1'. c = -5 Simplifying c = -5
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