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Simplifying 6 * -3r + 1 = 5(-2r + -2) Multiply 6 * -3 -18r + 1 = 5(-2r + -2) Reorder the terms: 1 + -18r = 5(-2r + -2) Reorder the terms: 1 + -18r = 5(-2 + -2r) 1 + -18r = (-2 * 5 + -2r * 5) 1 + -18r = (-10 + -10r) Solving 1 + -18r = -10 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 1 + -18r + 10r = -10 + -10r + 10r Combine like terms: -18r + 10r = -8r 1 + -8r = -10 + -10r + 10r Combine like terms: -10r + 10r = 0 1 + -8r = -10 + 0 1 + -8r = -10 Add '-1' to each side of the equation. 1 + -1 + -8r = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -8r = -10 + -1 -8r = -10 + -1 Combine like terms: -10 + -1 = -11 -8r = -11 Divide each side by '-8'. r = 1.375 Simplifying r = 1.375
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