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Simplifying -29 + -8r = 5r + 6(-6 + -1r) -29 + -8r = 5r + (-6 * 6 + -1r * 6) -29 + -8r = 5r + (-36 + -6r) Reorder the terms: -29 + -8r = -36 + 5r + -6r Combine like terms: 5r + -6r = -1r -29 + -8r = -36 + -1r Solving -29 + -8r = -36 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -29 + -8r + r = -36 + -1r + r Combine like terms: -8r + r = -7r -29 + -7r = -36 + -1r + r Combine like terms: -1r + r = 0 -29 + -7r = -36 + 0 -29 + -7r = -36 Add '29' to each side of the equation. -29 + 29 + -7r = -36 + 29 Combine like terms: -29 + 29 = 0 0 + -7r = -36 + 29 -7r = -36 + 29 Combine like terms: -36 + 29 = -7 -7r = -7 Divide each side by '-7'. r = 1 Simplifying r = 1
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