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Simplifying -2(r + 5) + -3r = -2(1 + 5r) + 6r Reorder the terms: -2(5 + r) + -3r = -2(1 + 5r) + 6r (5 * -2 + r * -2) + -3r = -2(1 + 5r) + 6r (-10 + -2r) + -3r = -2(1 + 5r) + 6r Combine like terms: -2r + -3r = -5r -10 + -5r = -2(1 + 5r) + 6r -10 + -5r = (1 * -2 + 5r * -2) + 6r -10 + -5r = (-2 + -10r) + 6r Combine like terms: -10r + 6r = -4r -10 + -5r = -2 + -4r Solving -10 + -5r = -2 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -10 + -5r + 4r = -2 + -4r + 4r Combine like terms: -5r + 4r = -1r -10 + -1r = -2 + -4r + 4r Combine like terms: -4r + 4r = 0 -10 + -1r = -2 + 0 -10 + -1r = -2 Add '10' to each side of the equation. -10 + 10 + -1r = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = -2 + 10 -1r = -2 + 10 Combine like terms: -2 + 10 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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