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Simplifying 15(3c + -6) = 8c + -7 Reorder the terms: 15(-6 + 3c) = 8c + -7 (-6 * 15 + 3c * 15) = 8c + -7 (-90 + 45c) = 8c + -7 Reorder the terms: -90 + 45c = -7 + 8c Solving -90 + 45c = -7 + 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. -90 + 45c + -8c = -7 + 8c + -8c Combine like terms: 45c + -8c = 37c -90 + 37c = -7 + 8c + -8c Combine like terms: 8c + -8c = 0 -90 + 37c = -7 + 0 -90 + 37c = -7 Add '90' to each side of the equation. -90 + 90 + 37c = -7 + 90 Combine like terms: -90 + 90 = 0 0 + 37c = -7 + 90 37c = -7 + 90 Combine like terms: -7 + 90 = 83 37c = 83 Divide each side by '37'. c = 2.243243243 Simplifying c = 2.243243243
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