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Simplifying 5(r + -5) + -4(r + -1) = 2(r + 4) Reorder the terms: 5(-5 + r) + -4(r + -1) = 2(r + 4) (-5 * 5 + r * 5) + -4(r + -1) = 2(r + 4) (-25 + 5r) + -4(r + -1) = 2(r + 4) Reorder the terms: -25 + 5r + -4(-1 + r) = 2(r + 4) -25 + 5r + (-1 * -4 + r * -4) = 2(r + 4) -25 + 5r + (4 + -4r) = 2(r + 4) Reorder the terms: -25 + 4 + 5r + -4r = 2(r + 4) Combine like terms: -25 + 4 = -21 -21 + 5r + -4r = 2(r + 4) Combine like terms: 5r + -4r = 1r -21 + 1r = 2(r + 4) Reorder the terms: -21 + 1r = 2(4 + r) -21 + 1r = (4 * 2 + r * 2) -21 + 1r = (8 + 2r) Solving -21 + 1r = 8 + 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. -21 + 1r + -2r = 8 + 2r + -2r Combine like terms: 1r + -2r = -1r -21 + -1r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 -21 + -1r = 8 + 0 -21 + -1r = 8 Add '21' to each side of the equation. -21 + 21 + -1r = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -1r = 8 + 21 -1r = 8 + 21 Combine like terms: 8 + 21 = 29 -1r = 29 Divide each side by '-1'. r = -29 Simplifying r = -29
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