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Simplifying -5(3r + 5) = 29 + -6r Reorder the terms: -5(5 + 3r) = 29 + -6r (5 * -5 + 3r * -5) = 29 + -6r (-25 + -15r) = 29 + -6r Solving -25 + -15r = 29 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -25 + -15r + 6r = 29 + -6r + 6r Combine like terms: -15r + 6r = -9r -25 + -9r = 29 + -6r + 6r Combine like terms: -6r + 6r = 0 -25 + -9r = 29 + 0 -25 + -9r = 29 Add '25' to each side of the equation. -25 + 25 + -9r = 29 + 25 Combine like terms: -25 + 25 = 0 0 + -9r = 29 + 25 -9r = 29 + 25 Combine like terms: 29 + 25 = 54 -9r = 54 Divide each side by '-9'. r = -6 Simplifying r = -6
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