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Simplifying 9.3c + -11.02 = 8(1.5c + 3.82) Reorder the terms: -11.02 + 9.3c = 8(1.5c + 3.82) Reorder the terms: -11.02 + 9.3c = 8(3.82 + 1.5c) -11.02 + 9.3c = (3.82 * 8 + 1.5c * 8) -11.02 + 9.3c = (30.56 + 12c) Solving -11.02 + 9.3c = 30.56 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -11.02 + 9.3c + -12c = 30.56 + 12c + -12c Combine like terms: 9.3c + -12c = -2.7c -11.02 + -2.7c = 30.56 + 12c + -12c Combine like terms: 12c + -12c = 0 -11.02 + -2.7c = 30.56 + 0 -11.02 + -2.7c = 30.56 Add '11.02' to each side of the equation. -11.02 + 11.02 + -2.7c = 30.56 + 11.02 Combine like terms: -11.02 + 11.02 = 0.00 0.00 + -2.7c = 30.56 + 11.02 -2.7c = 30.56 + 11.02 Combine like terms: 30.56 + 11.02 = 41.58 -2.7c = 41.58 Divide each side by '-2.7'. c = -15.4 Simplifying c = -15.4
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