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Simplifying 7(r + -6) + -6(r + -1) = 2(r + 4) Reorder the terms: 7(-6 + r) + -6(r + -1) = 2(r + 4) (-6 * 7 + r * 7) + -6(r + -1) = 2(r + 4) (-42 + 7r) + -6(r + -1) = 2(r + 4) Reorder the terms: -42 + 7r + -6(-1 + r) = 2(r + 4) -42 + 7r + (-1 * -6 + r * -6) = 2(r + 4) -42 + 7r + (6 + -6r) = 2(r + 4) Reorder the terms: -42 + 6 + 7r + -6r = 2(r + 4) Combine like terms: -42 + 6 = -36 -36 + 7r + -6r = 2(r + 4) Combine like terms: 7r + -6r = 1r -36 + 1r = 2(r + 4) Reorder the terms: -36 + 1r = 2(4 + r) -36 + 1r = (4 * 2 + r * 2) -36 + 1r = (8 + 2r) Solving -36 + 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. -36 + 1r + -2r = 8 + 2r + -2r Combine like terms: 1r + -2r = -1r -36 + -1r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 -36 + -1r = 8 + 0 -36 + -1r = 8 Add '36' to each side of the equation. -36 + 36 + -1r = 8 + 36 Combine like terms: -36 + 36 = 0 0 + -1r = 8 + 36 -1r = 8 + 36 Combine like terms: 8 + 36 = 44 -1r = 44 Divide each side by '-1'. r = -44 Simplifying r = -44
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