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Simplifying 4(r + -4) + -3(r + -1) = 2(r + 6) Reorder the terms: 4(-4 + r) + -3(r + -1) = 2(r + 6) (-4 * 4 + r * 4) + -3(r + -1) = 2(r + 6) (-16 + 4r) + -3(r + -1) = 2(r + 6) Reorder the terms: -16 + 4r + -3(-1 + r) = 2(r + 6) -16 + 4r + (-1 * -3 + r * -3) = 2(r + 6) -16 + 4r + (3 + -3r) = 2(r + 6) Reorder the terms: -16 + 3 + 4r + -3r = 2(r + 6) Combine like terms: -16 + 3 = -13 -13 + 4r + -3r = 2(r + 6) Combine like terms: 4r + -3r = 1r -13 + 1r = 2(r + 6) Reorder the terms: -13 + 1r = 2(6 + r) -13 + 1r = (6 * 2 + r * 2) -13 + 1r = (12 + 2r) Solving -13 + 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. -13 + 1r + -2r = 12 + 2r + -2r Combine like terms: 1r + -2r = -1r -13 + -1r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -13 + -1r = 12 + 0 -13 + -1r = 12 Add '13' to each side of the equation. -13 + 13 + -1r = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -1r = 12 + 13 -1r = 12 + 13 Combine like terms: 12 + 13 = 25 -1r = 25 Divide each side by '-1'. r = -25 Simplifying r = -25
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