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Simplifying 15(c + -6) = 5c + -165 Reorder the terms: 15(-6 + c) = 5c + -165 (-6 * 15 + c * 15) = 5c + -165 (-90 + 15c) = 5c + -165 Reorder the terms: -90 + 15c = -165 + 5c Solving -90 + 15c = -165 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -90 + 15c + -5c = -165 + 5c + -5c Combine like terms: 15c + -5c = 10c -90 + 10c = -165 + 5c + -5c Combine like terms: 5c + -5c = 0 -90 + 10c = -165 + 0 -90 + 10c = -165 Add '90' to each side of the equation. -90 + 90 + 10c = -165 + 90 Combine like terms: -90 + 90 = 0 0 + 10c = -165 + 90 10c = -165 + 90 Combine like terms: -165 + 90 = -75 10c = -75 Divide each side by '10'. c = -7.5 Simplifying c = -7.5
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