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Simplifying 2 + -1(-3r + 7) = 9 + 7(r + 7) Reorder the terms: 2 + -1(7 + -3r) = 9 + 7(r + 7) 2 + (7 * -1 + -3r * -1) = 9 + 7(r + 7) 2 + (-7 + 3r) = 9 + 7(r + 7) Combine like terms: 2 + -7 = -5 -5 + 3r = 9 + 7(r + 7) Reorder the terms: -5 + 3r = 9 + 7(7 + r) -5 + 3r = 9 + (7 * 7 + r * 7) -5 + 3r = 9 + (49 + 7r) Combine like terms: 9 + 49 = 58 -5 + 3r = 58 + 7r Solving -5 + 3r = 58 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -5 + 3r + -7r = 58 + 7r + -7r Combine like terms: 3r + -7r = -4r -5 + -4r = 58 + 7r + -7r Combine like terms: 7r + -7r = 0 -5 + -4r = 58 + 0 -5 + -4r = 58 Add '5' to each side of the equation. -5 + 5 + -4r = 58 + 5 Combine like terms: -5 + 5 = 0 0 + -4r = 58 + 5 -4r = 58 + 5 Combine like terms: 58 + 5 = 63 -4r = 63 Divide each side by '-4'. r = -15.75 Simplifying r = -15.75
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