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Simplifying 4(2c + -1) = -10(c + -5) Reorder the terms: 4(-1 + 2c) = -10(c + -5) (-1 * 4 + 2c * 4) = -10(c + -5) (-4 + 8c) = -10(c + -5) Reorder the terms: -4 + 8c = -10(-5 + c) -4 + 8c = (-5 * -10 + c * -10) -4 + 8c = (50 + -10c) Solving -4 + 8c = 50 + -10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10c' to each side of the equation. -4 + 8c + 10c = 50 + -10c + 10c Combine like terms: 8c + 10c = 18c -4 + 18c = 50 + -10c + 10c Combine like terms: -10c + 10c = 0 -4 + 18c = 50 + 0 -4 + 18c = 50 Add '4' to each side of the equation. -4 + 4 + 18c = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 18c = 50 + 4 18c = 50 + 4 Combine like terms: 50 + 4 = 54 18c = 54 Divide each side by '18'. c = 3 Simplifying c = 3
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