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Simplifying 8(16r + 20) + -8 = -8(-17r + -1) Reorder the terms: 8(20 + 16r) + -8 = -8(-17r + -1) (20 * 8 + 16r * 8) + -8 = -8(-17r + -1) (160 + 128r) + -8 = -8(-17r + -1) Reorder the terms: 160 + -8 + 128r = -8(-17r + -1) Combine like terms: 160 + -8 = 152 152 + 128r = -8(-17r + -1) Reorder the terms: 152 + 128r = -8(-1 + -17r) 152 + 128r = (-1 * -8 + -17r * -8) 152 + 128r = (8 + 136r) Solving 152 + 128r = 8 + 136r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-136r' to each side of the equation. 152 + 128r + -136r = 8 + 136r + -136r Combine like terms: 128r + -136r = -8r 152 + -8r = 8 + 136r + -136r Combine like terms: 136r + -136r = 0 152 + -8r = 8 + 0 152 + -8r = 8 Add '-152' to each side of the equation. 152 + -152 + -8r = 8 + -152 Combine like terms: 152 + -152 = 0 0 + -8r = 8 + -152 -8r = 8 + -152 Combine like terms: 8 + -152 = -144 -8r = -144 Divide each side by '-8'. r = 18 Simplifying r = 18
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