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Simplifying 8(1 + -2r) + -1(1 + -4r) = -17 (1 * 8 + -2r * 8) + -1(1 + -4r) = -17 (8 + -16r) + -1(1 + -4r) = -17 8 + -16r + (1 * -1 + -4r * -1) = -17 8 + -16r + (-1 + 4r) = -17 Reorder the terms: 8 + -1 + -16r + 4r = -17 Combine like terms: 8 + -1 = 7 7 + -16r + 4r = -17 Combine like terms: -16r + 4r = -12r 7 + -12r = -17 Solving 7 + -12r = -17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12r = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -12r = -17 + -7 -12r = -17 + -7 Combine like terms: -17 + -7 = -24 -12r = -24 Divide each side by '-12'. r = 2 Simplifying r = 2
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