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Simplifying -8(r + -5) + 8 = -2r + 36 Reorder the terms: -8(-5 + r) + 8 = -2r + 36 (-5 * -8 + r * -8) + 8 = -2r + 36 (40 + -8r) + 8 = -2r + 36 Reorder the terms: 40 + 8 + -8r = -2r + 36 Combine like terms: 40 + 8 = 48 48 + -8r = -2r + 36 Reorder the terms: 48 + -8r = 36 + -2r Solving 48 + -8r = 36 + -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. 48 + -8r + 2r = 36 + -2r + 2r Combine like terms: -8r + 2r = -6r 48 + -6r = 36 + -2r + 2r Combine like terms: -2r + 2r = 0 48 + -6r = 36 + 0 48 + -6r = 36 Add '-48' to each side of the equation. 48 + -48 + -6r = 36 + -48 Combine like terms: 48 + -48 = 0 0 + -6r = 36 + -48 -6r = 36 + -48 Combine like terms: 36 + -48 = -12 -6r = -12 Divide each side by '-6'. r = 2 Simplifying r = 2
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