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Simplifying 5(3 + -7r) = 15 + -8r (3 * 5 + -7r * 5) = 15 + -8r (15 + -35r) = 15 + -8r Add '-15' to each side of the equation. 15 + -15 + -35r = 15 + -15 + -8r Combine like terms: 15 + -15 = 0 0 + -35r = 15 + -15 + -8r -35r = 15 + -15 + -8r Combine like terms: 15 + -15 = 0 -35r = 0 + -8r -35r = -8r Solving -35r = -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -35r + 8r = -8r + 8r Combine like terms: -35r + 8r = -27r -27r = -8r + 8r Combine like terms: -8r + 8r = 0 -27r = 0 Divide each side by '-27'. r = 0 Simplifying r = 0
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