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Simplifying 4(r + -6) + 5 = 5(r + 2) + -25 Reorder the terms: 4(-6 + r) + 5 = 5(r + 2) + -25 (-6 * 4 + r * 4) + 5 = 5(r + 2) + -25 (-24 + 4r) + 5 = 5(r + 2) + -25 Reorder the terms: -24 + 5 + 4r = 5(r + 2) + -25 Combine like terms: -24 + 5 = -19 -19 + 4r = 5(r + 2) + -25 Reorder the terms: -19 + 4r = 5(2 + r) + -25 -19 + 4r = (2 * 5 + r * 5) + -25 -19 + 4r = (10 + 5r) + -25 Reorder the terms: -19 + 4r = 10 + -25 + 5r Combine like terms: 10 + -25 = -15 -19 + 4r = -15 + 5r Solving -19 + 4r = -15 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -19 + 4r + -5r = -15 + 5r + -5r Combine like terms: 4r + -5r = -1r -19 + -1r = -15 + 5r + -5r Combine like terms: 5r + -5r = 0 -19 + -1r = -15 + 0 -19 + -1r = -15 Add '19' to each side of the equation. -19 + 19 + -1r = -15 + 19 Combine like terms: -19 + 19 = 0 0 + -1r = -15 + 19 -1r = -15 + 19 Combine like terms: -15 + 19 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4
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