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Simplifying -8(r + -5) = -3(2r + -8) Reorder the terms: -8(-5 + r) = -3(2r + -8) (-5 * -8 + r * -8) = -3(2r + -8) (40 + -8r) = -3(2r + -8) Reorder the terms: 40 + -8r = -3(-8 + 2r) 40 + -8r = (-8 * -3 + 2r * -3) 40 + -8r = (24 + -6r) Solving 40 + -8r = 24 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 40 + -8r + 6r = 24 + -6r + 6r Combine like terms: -8r + 6r = -2r 40 + -2r = 24 + -6r + 6r Combine like terms: -6r + 6r = 0 40 + -2r = 24 + 0 40 + -2r = 24 Add '-40' to each side of the equation. 40 + -40 + -2r = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -2r = 24 + -40 -2r = 24 + -40 Combine like terms: 24 + -40 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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