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Simplifying 4(7 + 5r) + -1(2r + -4) = -40 (7 * 4 + 5r * 4) + -1(2r + -4) = -40 (28 + 20r) + -1(2r + -4) = -40 Reorder the terms: 28 + 20r + -1(-4 + 2r) = -40 28 + 20r + (-4 * -1 + 2r * -1) = -40 28 + 20r + (4 + -2r) = -40 Reorder the terms: 28 + 4 + 20r + -2r = -40 Combine like terms: 28 + 4 = 32 32 + 20r + -2r = -40 Combine like terms: 20r + -2r = 18r 32 + 18r = -40 Solving 32 + 18r = -40 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 18r = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 18r = -40 + -32 18r = -40 + -32 Combine like terms: -40 + -32 = -72 18r = -72 Divide each side by '18'. r = -4 Simplifying r = -4
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