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Simplifying 5(r + 5) = 2(r + -4) + 1 Reorder the terms: 5(5 + r) = 2(r + -4) + 1 (5 * 5 + r * 5) = 2(r + -4) + 1 (25 + 5r) = 2(r + -4) + 1 Reorder the terms: 25 + 5r = 2(-4 + r) + 1 25 + 5r = (-4 * 2 + r * 2) + 1 25 + 5r = (-8 + 2r) + 1 Reorder the terms: 25 + 5r = -8 + 1 + 2r Combine like terms: -8 + 1 = -7 25 + 5r = -7 + 2r Solving 25 + 5r = -7 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 25 + 5r + -2r = -7 + 2r + -2r Combine like terms: 5r + -2r = 3r 25 + 3r = -7 + 2r + -2r Combine like terms: 2r + -2r = 0 25 + 3r = -7 + 0 25 + 3r = -7 Add '-25' to each side of the equation. 25 + -25 + 3r = -7 + -25 Combine like terms: 25 + -25 = 0 0 + 3r = -7 + -25 3r = -7 + -25 Combine like terms: -7 + -25 = -32 3r = -32 Divide each side by '3'. r = -10.66666667 Simplifying r = -10.66666667
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