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Simplifying 6(r + -2) + -3r + -1 = 8(5r + 1) + -10r Reorder the terms: 6(-2 + r) + -3r + -1 = 8(5r + 1) + -10r (-2 * 6 + r * 6) + -3r + -1 = 8(5r + 1) + -10r (-12 + 6r) + -3r + -1 = 8(5r + 1) + -10r Reorder the terms: -12 + -1 + 6r + -3r = 8(5r + 1) + -10r Combine like terms: -12 + -1 = -13 -13 + 6r + -3r = 8(5r + 1) + -10r Combine like terms: 6r + -3r = 3r -13 + 3r = 8(5r + 1) + -10r Reorder the terms: -13 + 3r = 8(1 + 5r) + -10r -13 + 3r = (1 * 8 + 5r * 8) + -10r -13 + 3r = (8 + 40r) + -10r Combine like terms: 40r + -10r = 30r -13 + 3r = 8 + 30r Solving -13 + 3r = 8 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. -13 + 3r + -30r = 8 + 30r + -30r Combine like terms: 3r + -30r = -27r -13 + -27r = 8 + 30r + -30r Combine like terms: 30r + -30r = 0 -13 + -27r = 8 + 0 -13 + -27r = 8 Add '13' to each side of the equation. -13 + 13 + -27r = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -27r = 8 + 13 -27r = 8 + 13 Combine like terms: 8 + 13 = 21 -27r = 21 Divide each side by '-27'. r = -0.7777777778 Simplifying r = -0.7777777778
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