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Simplifying 4(r + -4) + -3(r + -1) = 2(r + 7) Reorder the terms: 4(-4 + r) + -3(r + -1) = 2(r + 7) (-4 * 4 + r * 4) + -3(r + -1) = 2(r + 7) (-16 + 4r) + -3(r + -1) = 2(r + 7) Reorder the terms: -16 + 4r + -3(-1 + r) = 2(r + 7) -16 + 4r + (-1 * -3 + r * -3) = 2(r + 7) -16 + 4r + (3 + -3r) = 2(r + 7) Reorder the terms: -16 + 3 + 4r + -3r = 2(r + 7) Combine like terms: -16 + 3 = -13 -13 + 4r + -3r = 2(r + 7) Combine like terms: 4r + -3r = 1r -13 + 1r = 2(r + 7) Reorder the terms: -13 + 1r = 2(7 + r) -13 + 1r = (7 * 2 + r * 2) -13 + 1r = (14 + 2r) Solving -13 + 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. -13 + 1r + -2r = 14 + 2r + -2r Combine like terms: 1r + -2r = -1r -13 + -1r = 14 + 2r + -2r Combine like terms: 2r + -2r = 0 -13 + -1r = 14 + 0 -13 + -1r = 14 Add '13' to each side of the equation. -13 + 13 + -1r = 14 + 13 Combine like terms: -13 + 13 = 0 0 + -1r = 14 + 13 -1r = 14 + 13 Combine like terms: 14 + 13 = 27 -1r = 27 Divide each side by '-1'. r = -27 Simplifying r = -27
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