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Simplifying 5r + -29 = 4(7 + 6r) Reorder the terms: -29 + 5r = 4(7 + 6r) -29 + 5r = (7 * 4 + 6r * 4) -29 + 5r = (28 + 24r) Solving -29 + 5r = 28 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -29 + 5r + -24r = 28 + 24r + -24r Combine like terms: 5r + -24r = -19r -29 + -19r = 28 + 24r + -24r Combine like terms: 24r + -24r = 0 -29 + -19r = 28 + 0 -29 + -19r = 28 Add '29' to each side of the equation. -29 + 29 + -19r = 28 + 29 Combine like terms: -29 + 29 = 0 0 + -19r = 28 + 29 -19r = 28 + 29 Combine like terms: 28 + 29 = 57 -19r = 57 Divide each side by '-19'. r = -3 Simplifying r = -3
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