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Simplifying -23 = 2(-4 + 5r) + 5r -23 = (-4 * 2 + 5r * 2) + 5r -23 = (-8 + 10r) + 5r Combine like terms: 10r + 5r = 15r -23 = -8 + 15r Solving -23 = -8 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -23 + -15r = -8 + 15r + -15r Combine like terms: 15r + -15r = 0 -23 + -15r = -8 + 0 -23 + -15r = -8 Add '23' to each side of the equation. -23 + 23 + -15r = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -15r = -8 + 23 -15r = -8 + 23 Combine like terms: -8 + 23 = 15 -15r = 15 Divide each side by '-15'. r = -1 Simplifying r = -1
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