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Simplifying 8(r + -4) + -7(r + -1) = 2(r + 7) Reorder the terms: 8(-4 + r) + -7(r + -1) = 2(r + 7) (-4 * 8 + r * 8) + -7(r + -1) = 2(r + 7) (-32 + 8r) + -7(r + -1) = 2(r + 7) Reorder the terms: -32 + 8r + -7(-1 + r) = 2(r + 7) -32 + 8r + (-1 * -7 + r * -7) = 2(r + 7) -32 + 8r + (7 + -7r) = 2(r + 7) Reorder the terms: -32 + 7 + 8r + -7r = 2(r + 7) Combine like terms: -32 + 7 = -25 -25 + 8r + -7r = 2(r + 7) Combine like terms: 8r + -7r = 1r -25 + 1r = 2(r + 7) Reorder the terms: -25 + 1r = 2(7 + r) -25 + 1r = (7 * 2 + r * 2) -25 + 1r = (14 + 2r) Solving -25 + 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. -25 + 1r + -2r = 14 + 2r + -2r Combine like terms: 1r + -2r = -1r -25 + -1r = 14 + 2r + -2r Combine like terms: 2r + -2r = 0 -25 + -1r = 14 + 0 -25 + -1r = 14 Add '25' to each side of the equation. -25 + 25 + -1r = 14 + 25 Combine like terms: -25 + 25 = 0 0 + -1r = 14 + 25 -1r = 14 + 25 Combine like terms: 14 + 25 = 39 -1r = 39 Divide each side by '-1'. r = -39 Simplifying r = -39
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