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Simplifying -4(8 + -5r) + 4r = 7(r + -7) (8 * -4 + -5r * -4) + 4r = 7(r + -7) (-32 + 20r) + 4r = 7(r + -7) Combine like terms: 20r + 4r = 24r -32 + 24r = 7(r + -7) Reorder the terms: -32 + 24r = 7(-7 + r) -32 + 24r = (-7 * 7 + r * 7) -32 + 24r = (-49 + 7r) Solving -32 + 24r = -49 + 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 + 24r + -7r = -49 + 7r + -7r Combine like terms: 24r + -7r = 17r -32 + 17r = -49 + 7r + -7r Combine like terms: 7r + -7r = 0 -32 + 17r = -49 + 0 -32 + 17r = -49 Add '32' to each side of the equation. -32 + 32 + 17r = -49 + 32 Combine like terms: -32 + 32 = 0 0 + 17r = -49 + 32 17r = -49 + 32 Combine like terms: -49 + 32 = -17 17r = -17 Divide each side by '17'. r = -1 Simplifying r = -1
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