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Simplifying -8(1 + 4r) + -1 = -4(r + 1) + -5 (1 * -8 + 4r * -8) + -1 = -4(r + 1) + -5 (-8 + -32r) + -1 = -4(r + 1) + -5 Reorder the terms: -8 + -1 + -32r = -4(r + 1) + -5 Combine like terms: -8 + -1 = -9 -9 + -32r = -4(r + 1) + -5 Reorder the terms: -9 + -32r = -4(1 + r) + -5 -9 + -32r = (1 * -4 + r * -4) + -5 -9 + -32r = (-4 + -4r) + -5 Reorder the terms: -9 + -32r = -4 + -5 + -4r Combine like terms: -4 + -5 = -9 -9 + -32r = -9 + -4r Add '9' to each side of the equation. -9 + 9 + -32r = -9 + 9 + -4r Combine like terms: -9 + 9 = 0 0 + -32r = -9 + 9 + -4r -32r = -9 + 9 + -4r Combine like terms: -9 + 9 = 0 -32r = 0 + -4r -32r = -4r Solving -32r = -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. -32r + 4r = -4r + 4r Combine like terms: -32r + 4r = -28r -28r = -4r + 4r Combine like terms: -4r + 4r = 0 -28r = 0 Divide each side by '-28'. r = 0 Simplifying r = 0
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