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Simplifying -4r + -23 = 8(-4r + 5) + 7r Reorder the terms: -23 + -4r = 8(-4r + 5) + 7r Reorder the terms: -23 + -4r = 8(5 + -4r) + 7r -23 + -4r = (5 * 8 + -4r * 8) + 7r -23 + -4r = (40 + -32r) + 7r Combine like terms: -32r + 7r = -25r -23 + -4r = 40 + -25r Solving -23 + -4r = 40 + -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. -23 + -4r + 25r = 40 + -25r + 25r Combine like terms: -4r + 25r = 21r -23 + 21r = 40 + -25r + 25r Combine like terms: -25r + 25r = 0 -23 + 21r = 40 + 0 -23 + 21r = 40 Add '23' to each side of the equation. -23 + 23 + 21r = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 21r = 40 + 23 21r = 40 + 23 Combine like terms: 40 + 23 = 63 21r = 63 Divide each side by '21'. r = 3 Simplifying r = 3
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