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Simplifying -29 + 3r = -8(4r + 8) Reorder the terms: -29 + 3r = -8(8 + 4r) -29 + 3r = (8 * -8 + 4r * -8) -29 + 3r = (-64 + -32r) Solving -29 + 3r = -64 + -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. -29 + 3r + 32r = -64 + -32r + 32r Combine like terms: 3r + 32r = 35r -29 + 35r = -64 + -32r + 32r Combine like terms: -32r + 32r = 0 -29 + 35r = -64 + 0 -29 + 35r = -64 Add '29' to each side of the equation. -29 + 29 + 35r = -64 + 29 Combine like terms: -29 + 29 = 0 0 + 35r = -64 + 29 35r = -64 + 29 Combine like terms: -64 + 29 = -35 35r = -35 Divide each side by '35'. r = -1 Simplifying r = -1
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