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Simplifying -2(3r + 5) + -4r = -8 + 4(4 + 2r) Reorder the terms: -2(5 + 3r) + -4r = -8 + 4(4 + 2r) (5 * -2 + 3r * -2) + -4r = -8 + 4(4 + 2r) (-10 + -6r) + -4r = -8 + 4(4 + 2r) Combine like terms: -6r + -4r = -10r -10 + -10r = -8 + 4(4 + 2r) -10 + -10r = -8 + (4 * 4 + 2r * 4) -10 + -10r = -8 + (16 + 8r) Combine like terms: -8 + 16 = 8 -10 + -10r = 8 + 8r Solving -10 + -10r = 8 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -10 + -10r + -8r = 8 + 8r + -8r Combine like terms: -10r + -8r = -18r -10 + -18r = 8 + 8r + -8r Combine like terms: 8r + -8r = 0 -10 + -18r = 8 + 0 -10 + -18r = 8 Add '10' to each side of the equation. -10 + 10 + -18r = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -18r = 8 + 10 -18r = 8 + 10 Combine like terms: 8 + 10 = 18 -18r = 18 Divide each side by '-18'. r = -1 Simplifying r = -1
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