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Simplifying 3(5c + -1) = -2(c + 2) Reorder the terms: 3(-1 + 5c) = -2(c + 2) (-1 * 3 + 5c * 3) = -2(c + 2) (-3 + 15c) = -2(c + 2) Reorder the terms: -3 + 15c = -2(2 + c) -3 + 15c = (2 * -2 + c * -2) -3 + 15c = (-4 + -2c) Solving -3 + 15c = -4 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -3 + 15c + 2c = -4 + -2c + 2c Combine like terms: 15c + 2c = 17c -3 + 17c = -4 + -2c + 2c Combine like terms: -2c + 2c = 0 -3 + 17c = -4 + 0 -3 + 17c = -4 Add '3' to each side of the equation. -3 + 3 + 17c = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 17c = -4 + 3 17c = -4 + 3 Combine like terms: -4 + 3 = -1 17c = -1 Divide each side by '17'. c = -0.05882352941 Simplifying c = -0.05882352941
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