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Simplifying -1 + -8r = -3(4r + -5) Reorder the terms: -1 + -8r = -3(-5 + 4r) -1 + -8r = (-5 * -3 + 4r * -3) -1 + -8r = (15 + -12r) Solving -1 + -8r = 15 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -1 + -8r + 12r = 15 + -12r + 12r Combine like terms: -8r + 12r = 4r -1 + 4r = 15 + -12r + 12r Combine like terms: -12r + 12r = 0 -1 + 4r = 15 + 0 -1 + 4r = 15 Add '1' to each side of the equation. -1 + 1 + 4r = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 4r = 15 + 1 4r = 15 + 1 Combine like terms: 15 + 1 = 16 4r = 16 Divide each side by '4'. r = 4 Simplifying r = 4
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