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Simplifying -1(7c + 10) = 4(2c + 5) Reorder the terms: -1(10 + 7c) = 4(2c + 5) (10 * -1 + 7c * -1) = 4(2c + 5) (-10 + -7c) = 4(2c + 5) Reorder the terms: -10 + -7c = 4(5 + 2c) -10 + -7c = (5 * 4 + 2c * 4) -10 + -7c = (20 + 8c) Solving -10 + -7c = 20 + 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. -10 + -7c + -8c = 20 + 8c + -8c Combine like terms: -7c + -8c = -15c -10 + -15c = 20 + 8c + -8c Combine like terms: 8c + -8c = 0 -10 + -15c = 20 + 0 -10 + -15c = 20 Add '10' to each side of the equation. -10 + 10 + -15c = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -15c = 20 + 10 -15c = 20 + 10 Combine like terms: 20 + 10 = 30 -15c = 30 Divide each side by '-15'. c = -2 Simplifying c = -2
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