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Simplifying 0.8(15c + -35) = 9c + -7 Reorder the terms: 0.8(-35 + 15c) = 9c + -7 (-35 * 0.8 + 15c * 0.8) = 9c + -7 (-28 + 12c) = 9c + -7 Reorder the terms: -28 + 12c = -7 + 9c Solving -28 + 12c = -7 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -28 + 12c + -9c = -7 + 9c + -9c Combine like terms: 12c + -9c = 3c -28 + 3c = -7 + 9c + -9c Combine like terms: 9c + -9c = 0 -28 + 3c = -7 + 0 -28 + 3c = -7 Add '28' to each side of the equation. -28 + 28 + 3c = -7 + 28 Combine like terms: -28 + 28 = 0 0 + 3c = -7 + 28 3c = -7 + 28 Combine like terms: -7 + 28 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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