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Simplifying 8r + -2(r + 5) = 5(2r + -6) + -8 Reorder the terms: 8r + -2(5 + r) = 5(2r + -6) + -8 8r + (5 * -2 + r * -2) = 5(2r + -6) + -8 8r + (-10 + -2r) = 5(2r + -6) + -8 Reorder the terms: -10 + 8r + -2r = 5(2r + -6) + -8 Combine like terms: 8r + -2r = 6r -10 + 6r = 5(2r + -6) + -8 Reorder the terms: -10 + 6r = 5(-6 + 2r) + -8 -10 + 6r = (-6 * 5 + 2r * 5) + -8 -10 + 6r = (-30 + 10r) + -8 Reorder the terms: -10 + 6r = -30 + -8 + 10r Combine like terms: -30 + -8 = -38 -10 + 6r = -38 + 10r Solving -10 + 6r = -38 + 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. -10 + 6r + -10r = -38 + 10r + -10r Combine like terms: 6r + -10r = -4r -10 + -4r = -38 + 10r + -10r Combine like terms: 10r + -10r = 0 -10 + -4r = -38 + 0 -10 + -4r = -38 Add '10' to each side of the equation. -10 + 10 + -4r = -38 + 10 Combine like terms: -10 + 10 = 0 0 + -4r = -38 + 10 -4r = -38 + 10 Combine like terms: -38 + 10 = -28 -4r = -28 Divide each side by '-4'. r = 7 Simplifying r = 7
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