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Simplifying 45 = -1(8r + 1) + -2(1 + 4r) Reorder the terms: 45 = -1(1 + 8r) + -2(1 + 4r) 45 = (1 * -1 + 8r * -1) + -2(1 + 4r) 45 = (-1 + -8r) + -2(1 + 4r) 45 = -1 + -8r + (1 * -2 + 4r * -2) 45 = -1 + -8r + (-2 + -8r) Reorder the terms: 45 = -1 + -2 + -8r + -8r Combine like terms: -1 + -2 = -3 45 = -3 + -8r + -8r Combine like terms: -8r + -8r = -16r 45 = -3 + -16r Solving 45 = -3 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 45 + 16r = -3 + -16r + 16r Combine like terms: -16r + 16r = 0 45 + 16r = -3 + 0 45 + 16r = -3 Add '-45' to each side of the equation. 45 + -45 + 16r = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 16r = -3 + -45 16r = -3 + -45 Combine like terms: -3 + -45 = -48 16r = -48 Divide each side by '16'. r = -3 Simplifying r = -3
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