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Simplifying 7(r + -4) + -6(r + -1) = 2(r + 6) Reorder the terms: 7(-4 + r) + -6(r + -1) = 2(r + 6) (-4 * 7 + r * 7) + -6(r + -1) = 2(r + 6) (-28 + 7r) + -6(r + -1) = 2(r + 6) Reorder the terms: -28 + 7r + -6(-1 + r) = 2(r + 6) -28 + 7r + (-1 * -6 + r * -6) = 2(r + 6) -28 + 7r + (6 + -6r) = 2(r + 6) Reorder the terms: -28 + 6 + 7r + -6r = 2(r + 6) Combine like terms: -28 + 6 = -22 -22 + 7r + -6r = 2(r + 6) Combine like terms: 7r + -6r = 1r -22 + 1r = 2(r + 6) Reorder the terms: -22 + 1r = 2(6 + r) -22 + 1r = (6 * 2 + r * 2) -22 + 1r = (12 + 2r) Solving -22 + 1r = 12 + 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. -22 + 1r + -2r = 12 + 2r + -2r Combine like terms: 1r + -2r = -1r -22 + -1r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -22 + -1r = 12 + 0 -22 + -1r = 12 Add '22' to each side of the equation. -22 + 22 + -1r = 12 + 22 Combine like terms: -22 + 22 = 0 0 + -1r = 12 + 22 -1r = 12 + 22 Combine like terms: 12 + 22 = 34 -1r = 34 Divide each side by '-1'. r = -34 Simplifying r = -34
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