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Simplifying 5(r + -3) + -4(r + -1) = 2(r + 7) Reorder the terms: 5(-3 + r) + -4(r + -1) = 2(r + 7) (-3 * 5 + r * 5) + -4(r + -1) = 2(r + 7) (-15 + 5r) + -4(r + -1) = 2(r + 7) Reorder the terms: -15 + 5r + -4(-1 + r) = 2(r + 7) -15 + 5r + (-1 * -4 + r * -4) = 2(r + 7) -15 + 5r + (4 + -4r) = 2(r + 7) Reorder the terms: -15 + 4 + 5r + -4r = 2(r + 7) Combine like terms: -15 + 4 = -11 -11 + 5r + -4r = 2(r + 7) Combine like terms: 5r + -4r = 1r -11 + 1r = 2(r + 7) Reorder the terms: -11 + 1r = 2(7 + r) -11 + 1r = (7 * 2 + r * 2) -11 + 1r = (14 + 2r) Solving -11 + 1r = 14 + 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. -11 + 1r + -2r = 14 + 2r + -2r Combine like terms: 1r + -2r = -1r -11 + -1r = 14 + 2r + -2r Combine like terms: 2r + -2r = 0 -11 + -1r = 14 + 0 -11 + -1r = 14 Add '11' to each side of the equation. -11 + 11 + -1r = 14 + 11 Combine like terms: -11 + 11 = 0 0 + -1r = 14 + 11 -1r = 14 + 11 Combine like terms: 14 + 11 = 25 -1r = 25 Divide each side by '-1'. r = -25 Simplifying r = -25
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