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Simplifying 4(r + -7) + 5 = 5(r + 3) + -28 Reorder the terms: 4(-7 + r) + 5 = 5(r + 3) + -28 (-7 * 4 + r * 4) + 5 = 5(r + 3) + -28 (-28 + 4r) + 5 = 5(r + 3) + -28 Reorder the terms: -28 + 5 + 4r = 5(r + 3) + -28 Combine like terms: -28 + 5 = -23 -23 + 4r = 5(r + 3) + -28 Reorder the terms: -23 + 4r = 5(3 + r) + -28 -23 + 4r = (3 * 5 + r * 5) + -28 -23 + 4r = (15 + 5r) + -28 Reorder the terms: -23 + 4r = 15 + -28 + 5r Combine like terms: 15 + -28 = -13 -23 + 4r = -13 + 5r Solving -23 + 4r = -13 + 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. -23 + 4r + -5r = -13 + 5r + -5r Combine like terms: 4r + -5r = -1r -23 + -1r = -13 + 5r + -5r Combine like terms: 5r + -5r = 0 -23 + -1r = -13 + 0 -23 + -1r = -13 Add '23' to each side of the equation. -23 + 23 + -1r = -13 + 23 Combine like terms: -23 + 23 = 0 0 + -1r = -13 + 23 -1r = -13 + 23 Combine like terms: -13 + 23 = 10 -1r = 10 Divide each side by '-1'. r = -10 Simplifying r = -10
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