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Simplifying -5(3c + 6) = 4(2c + 11) Reorder the terms: -5(6 + 3c) = 4(2c + 11) (6 * -5 + 3c * -5) = 4(2c + 11) (-30 + -15c) = 4(2c + 11) Reorder the terms: -30 + -15c = 4(11 + 2c) -30 + -15c = (11 * 4 + 2c * 4) -30 + -15c = (44 + 8c) Solving -30 + -15c = 44 + 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. -30 + -15c + -8c = 44 + 8c + -8c Combine like terms: -15c + -8c = -23c -30 + -23c = 44 + 8c + -8c Combine like terms: 8c + -8c = 0 -30 + -23c = 44 + 0 -30 + -23c = 44 Add '30' to each side of the equation. -30 + 30 + -23c = 44 + 30 Combine like terms: -30 + 30 = 0 0 + -23c = 44 + 30 -23c = 44 + 30 Combine like terms: 44 + 30 = 74 -23c = 74 Divide each side by '-23'. c = -3.217391304 Simplifying c = -3.217391304
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