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Simplifying -10 + 8r = 6(7 + -3r) -10 + 8r = (7 * 6 + -3r * 6) -10 + 8r = (42 + -18r) Solving -10 + 8r = 42 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. -10 + 8r + 18r = 42 + -18r + 18r Combine like terms: 8r + 18r = 26r -10 + 26r = 42 + -18r + 18r Combine like terms: -18r + 18r = 0 -10 + 26r = 42 + 0 -10 + 26r = 42 Add '10' to each side of the equation. -10 + 10 + 26r = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 26r = 42 + 10 26r = 42 + 10 Combine like terms: 42 + 10 = 52 26r = 52 Divide each side by '26'. r = 2 Simplifying r = 2
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