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Simplifying 2(-2r) + -5 = -2(r + 5) + 8r Remove parenthesis around (-2r) 2 * -2r + -5 = -2(r + 5) + 8r Multiply 2 * -2 -4r + -5 = -2(r + 5) + 8r Reorder the terms: -5 + -4r = -2(r + 5) + 8r Reorder the terms: -5 + -4r = -2(5 + r) + 8r -5 + -4r = (5 * -2 + r * -2) + 8r -5 + -4r = (-10 + -2r) + 8r Combine like terms: -2r + 8r = 6r -5 + -4r = -10 + 6r Solving -5 + -4r = -10 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -5 + -4r + -6r = -10 + 6r + -6r Combine like terms: -4r + -6r = -10r -5 + -10r = -10 + 6r + -6r Combine like terms: 6r + -6r = 0 -5 + -10r = -10 + 0 -5 + -10r = -10 Add '5' to each side of the equation. -5 + 5 + -10r = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -10r = -10 + 5 -10r = -10 + 5 Combine like terms: -10 + 5 = -5 -10r = -5 Divide each side by '-10'. r = 0.5 Simplifying r = 0.5
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