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Simplifying -4r + 36 = -6(5r + 7) Reorder the terms: 36 + -4r = -6(5r + 7) Reorder the terms: 36 + -4r = -6(7 + 5r) 36 + -4r = (7 * -6 + 5r * -6) 36 + -4r = (-42 + -30r) Solving 36 + -4r = -42 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 36 + -4r + 30r = -42 + -30r + 30r Combine like terms: -4r + 30r = 26r 36 + 26r = -42 + -30r + 30r Combine like terms: -30r + 30r = 0 36 + 26r = -42 + 0 36 + 26r = -42 Add '-36' to each side of the equation. 36 + -36 + 26r = -42 + -36 Combine like terms: 36 + -36 = 0 0 + 26r = -42 + -36 26r = -42 + -36 Combine like terms: -42 + -36 = -78 26r = -78 Divide each side by '26'. r = -3 Simplifying r = -3
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