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Simplifying 3(5r + 2) + -1 = 2(r + -4) Reorder the terms: 3(2 + 5r) + -1 = 2(r + -4) (2 * 3 + 5r * 3) + -1 = 2(r + -4) (6 + 15r) + -1 = 2(r + -4) Reorder the terms: 6 + -1 + 15r = 2(r + -4) Combine like terms: 6 + -1 = 5 5 + 15r = 2(r + -4) Reorder the terms: 5 + 15r = 2(-4 + r) 5 + 15r = (-4 * 2 + r * 2) 5 + 15r = (-8 + 2r) Solving 5 + 15r = -8 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 5 + 15r + -2r = -8 + 2r + -2r Combine like terms: 15r + -2r = 13r 5 + 13r = -8 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + 13r = -8 + 0 5 + 13r = -8 Add '-5' to each side of the equation. 5 + -5 + 13r = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 13r = -8 + -5 13r = -8 + -5 Combine like terms: -8 + -5 = -13 13r = -13 Divide each side by '13'. r = -1 Simplifying r = -1
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