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Simplifying 9 + -1r = 3(r + -5) Reorder the terms: 9 + -1r = 3(-5 + r) 9 + -1r = (-5 * 3 + r * 3) 9 + -1r = (-15 + 3r) Solving 9 + -1r = -15 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 9 + -1r + -3r = -15 + 3r + -3r Combine like terms: -1r + -3r = -4r 9 + -4r = -15 + 3r + -3r Combine like terms: 3r + -3r = 0 9 + -4r = -15 + 0 9 + -4r = -15 Add '-9' to each side of the equation. 9 + -9 + -4r = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -4r = -15 + -9 -4r = -15 + -9 Combine like terms: -15 + -9 = -24 -4r = -24 Divide each side by '-4'. r = 6 Simplifying r = 6
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