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Simplifying -4(8r + -4) + 5r = -15 + 4r Reorder the terms: -4(-4 + 8r) + 5r = -15 + 4r (-4 * -4 + 8r * -4) + 5r = -15 + 4r (16 + -32r) + 5r = -15 + 4r Combine like terms: -32r + 5r = -27r 16 + -27r = -15 + 4r Solving 16 + -27r = -15 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 16 + -27r + -4r = -15 + 4r + -4r Combine like terms: -27r + -4r = -31r 16 + -31r = -15 + 4r + -4r Combine like terms: 4r + -4r = 0 16 + -31r = -15 + 0 16 + -31r = -15 Add '-16' to each side of the equation. 16 + -16 + -31r = -15 + -16 Combine like terms: 16 + -16 = 0 0 + -31r = -15 + -16 -31r = -15 + -16 Combine like terms: -15 + -16 = -31 -31r = -31 Divide each side by '-31'. r = 1 Simplifying r = 1
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