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Simplifying 29 + 8r = -6(2r + 3) Reorder the terms: 29 + 8r = -6(3 + 2r) 29 + 8r = (3 * -6 + 2r * -6) 29 + 8r = (-18 + -12r) Solving 29 + 8r = -18 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 29 + 8r + 12r = -18 + -12r + 12r Combine like terms: 8r + 12r = 20r 29 + 20r = -18 + -12r + 12r Combine like terms: -12r + 12r = 0 29 + 20r = -18 + 0 29 + 20r = -18 Add '-29' to each side of the equation. 29 + -29 + 20r = -18 + -29 Combine like terms: 29 + -29 = 0 0 + 20r = -18 + -29 20r = -18 + -29 Combine like terms: -18 + -29 = -47 20r = -47 Divide each side by '20'. r = -2.35 Simplifying r = -2.35
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