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Simplifying 7(3r + -19) = 8r + -29 Reorder the terms: 7(-19 + 3r) = 8r + -29 (-19 * 7 + 3r * 7) = 8r + -29 (-133 + 21r) = 8r + -29 Reorder the terms: -133 + 21r = -29 + 8r Solving -133 + 21r = -29 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -133 + 21r + -8r = -29 + 8r + -8r Combine like terms: 21r + -8r = 13r -133 + 13r = -29 + 8r + -8r Combine like terms: 8r + -8r = 0 -133 + 13r = -29 + 0 -133 + 13r = -29 Add '133' to each side of the equation. -133 + 133 + 13r = -29 + 133 Combine like terms: -133 + 133 = 0 0 + 13r = -29 + 133 13r = -29 + 133 Combine like terms: -29 + 133 = 104 13r = 104 Divide each side by '13'. r = 8 Simplifying r = 8
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