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Simplifying 8(4r + -4) = -5r + -32 Reorder the terms: 8(-4 + 4r) = -5r + -32 (-4 * 8 + 4r * 8) = -5r + -32 (-32 + 32r) = -5r + -32 Reorder the terms: -32 + 32r = -32 + -5r Add '32' to each side of the equation. -32 + 32 + 32r = -32 + 32 + -5r Combine like terms: -32 + 32 = 0 0 + 32r = -32 + 32 + -5r 32r = -32 + 32 + -5r Combine like terms: -32 + 32 = 0 32r = 0 + -5r 32r = -5r Solving 32r = -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 32r + 5r = -5r + 5r Combine like terms: 32r + 5r = 37r 37r = -5r + 5r Combine like terms: -5r + 5r = 0 37r = 0 Divide each side by '37'. r = 0 Simplifying r = 0
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