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Simplifying 1 = 3(r + -5) + -2(r + -4) Reorder the terms: 1 = 3(-5 + r) + -2(r + -4) 1 = (-5 * 3 + r * 3) + -2(r + -4) 1 = (-15 + 3r) + -2(r + -4) Reorder the terms: 1 = -15 + 3r + -2(-4 + r) 1 = -15 + 3r + (-4 * -2 + r * -2) 1 = -15 + 3r + (8 + -2r) Reorder the terms: 1 = -15 + 8 + 3r + -2r Combine like terms: -15 + 8 = -7 1 = -7 + 3r + -2r Combine like terms: 3r + -2r = 1r 1 = -7 + 1r Solving 1 = -7 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 1 + -1r = -7 + 1r + -1r Combine like terms: 1r + -1r = 0 1 + -1r = -7 + 0 1 + -1r = -7 Add '-1' to each side of the equation. 1 + -1 + -1r = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = -7 + -1 -1r = -7 + -1 Combine like terms: -7 + -1 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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