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Simplifying 15(6c + -3) = 9c + -7 Reorder the terms: 15(-3 + 6c) = 9c + -7 (-3 * 15 + 6c * 15) = 9c + -7 (-45 + 90c) = 9c + -7 Reorder the terms: -45 + 90c = -7 + 9c Solving -45 + 90c = -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. -45 + 90c + -9c = -7 + 9c + -9c Combine like terms: 90c + -9c = 81c -45 + 81c = -7 + 9c + -9c Combine like terms: 9c + -9c = 0 -45 + 81c = -7 + 0 -45 + 81c = -7 Add '45' to each side of the equation. -45 + 45 + 81c = -7 + 45 Combine like terms: -45 + 45 = 0 0 + 81c = -7 + 45 81c = -7 + 45 Combine like terms: -7 + 45 = 38 81c = 38 Divide each side by '81'. c = 0.4691358025 Simplifying c = 0.4691358025
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