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Simplifying -40 + 3r = 8 + 7(4 + -5r) -40 + 3r = 8 + (4 * 7 + -5r * 7) -40 + 3r = 8 + (28 + -35r) Combine like terms: 8 + 28 = 36 -40 + 3r = 36 + -35r Solving -40 + 3r = 36 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. -40 + 3r + 35r = 36 + -35r + 35r Combine like terms: 3r + 35r = 38r -40 + 38r = 36 + -35r + 35r Combine like terms: -35r + 35r = 0 -40 + 38r = 36 + 0 -40 + 38r = 36 Add '40' to each side of the equation. -40 + 40 + 38r = 36 + 40 Combine like terms: -40 + 40 = 0 0 + 38r = 36 + 40 38r = 36 + 40 Combine like terms: 36 + 40 = 76 38r = 76 Divide each side by '38'. r = 2 Simplifying r = 2
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