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Simplifying 8(r + 4) = -7(-5 + -1r) Reorder the terms: 8(4 + r) = -7(-5 + -1r) (4 * 8 + r * 8) = -7(-5 + -1r) (32 + 8r) = -7(-5 + -1r) 32 + 8r = (-5 * -7 + -1r * -7) 32 + 8r = (35 + 7r) Solving 32 + 8r = 35 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 32 + 8r + -7r = 35 + 7r + -7r Combine like terms: 8r + -7r = 1r 32 + 1r = 35 + 7r + -7r Combine like terms: 7r + -7r = 0 32 + 1r = 35 + 0 32 + 1r = 35 Add '-32' to each side of the equation. 32 + -32 + 1r = 35 + -32 Combine like terms: 32 + -32 = 0 0 + 1r = 35 + -32 1r = 35 + -32 Combine like terms: 35 + -32 = 3 1r = 3 Divide each side by '1'. r = 3 Simplifying r = 3
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