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Simplifying -8r + 32 = -4(3r + -1) Reorder the terms: 32 + -8r = -4(3r + -1) Reorder the terms: 32 + -8r = -4(-1 + 3r) 32 + -8r = (-1 * -4 + 3r * -4) 32 + -8r = (4 + -12r) Solving 32 + -8r = 4 + -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. 32 + -8r + 12r = 4 + -12r + 12r Combine like terms: -8r + 12r = 4r 32 + 4r = 4 + -12r + 12r Combine like terms: -12r + 12r = 0 32 + 4r = 4 + 0 32 + 4r = 4 Add '-32' to each side of the equation. 32 + -32 + 4r = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4r = 4 + -32 4r = 4 + -32 Combine like terms: 4 + -32 = -28 4r = -28 Divide each side by '4'. r = -7 Simplifying r = -7
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