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Simplifying 3r + 37 = 8(6r + -1) Reorder the terms: 37 + 3r = 8(6r + -1) Reorder the terms: 37 + 3r = 8(-1 + 6r) 37 + 3r = (-1 * 8 + 6r * 8) 37 + 3r = (-8 + 48r) Solving 37 + 3r = -8 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. 37 + 3r + -48r = -8 + 48r + -48r Combine like terms: 3r + -48r = -45r 37 + -45r = -8 + 48r + -48r Combine like terms: 48r + -48r = 0 37 + -45r = -8 + 0 37 + -45r = -8 Add '-37' to each side of the equation. 37 + -37 + -45r = -8 + -37 Combine like terms: 37 + -37 = 0 0 + -45r = -8 + -37 -45r = -8 + -37 Combine like terms: -8 + -37 = -45 -45r = -45 Divide each side by '-45'. r = 1 Simplifying r = 1
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