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Simplifying 8(r + -12) + -3r = -1r + -3(r + 8) Reorder the terms: 8(-12 + r) + -3r = -1r + -3(r + 8) (-12 * 8 + r * 8) + -3r = -1r + -3(r + 8) (-96 + 8r) + -3r = -1r + -3(r + 8) Combine like terms: 8r + -3r = 5r -96 + 5r = -1r + -3(r + 8) Reorder the terms: -96 + 5r = -1r + -3(8 + r) -96 + 5r = -1r + (8 * -3 + r * -3) -96 + 5r = -1r + (-24 + -3r) Reorder the terms: -96 + 5r = -24 + -1r + -3r Combine like terms: -1r + -3r = -4r -96 + 5r = -24 + -4r Solving -96 + 5r = -24 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -96 + 5r + 4r = -24 + -4r + 4r Combine like terms: 5r + 4r = 9r -96 + 9r = -24 + -4r + 4r Combine like terms: -4r + 4r = 0 -96 + 9r = -24 + 0 -96 + 9r = -24 Add '96' to each side of the equation. -96 + 96 + 9r = -24 + 96 Combine like terms: -96 + 96 = 0 0 + 9r = -24 + 96 9r = -24 + 96 Combine like terms: -24 + 96 = 72 9r = 72 Divide each side by '9'. r = 8 Simplifying r = 8
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