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Simplifying 16 + -5(3c + -4) = 8(-2c + 11) Reorder the terms: 16 + -5(-4 + 3c) = 8(-2c + 11) 16 + (-4 * -5 + 3c * -5) = 8(-2c + 11) 16 + (20 + -15c) = 8(-2c + 11) Combine like terms: 16 + 20 = 36 36 + -15c = 8(-2c + 11) Reorder the terms: 36 + -15c = 8(11 + -2c) 36 + -15c = (11 * 8 + -2c * 8) 36 + -15c = (88 + -16c) Solving 36 + -15c = 88 + -16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16c' to each side of the equation. 36 + -15c + 16c = 88 + -16c + 16c Combine like terms: -15c + 16c = 1c 36 + 1c = 88 + -16c + 16c Combine like terms: -16c + 16c = 0 36 + 1c = 88 + 0 36 + 1c = 88 Add '-36' to each side of the equation. 36 + -36 + 1c = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 1c = 88 + -36 1c = 88 + -36 Combine like terms: 88 + -36 = 52 1c = 52 Divide each side by '1'. c = 52 Simplifying c = 52
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