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Simplifying 8(r + 2) + -36 = 2 + -1(4 + r) Reorder the terms: 8(2 + r) + -36 = 2 + -1(4 + r) (2 * 8 + r * 8) + -36 = 2 + -1(4 + r) (16 + 8r) + -36 = 2 + -1(4 + r) Reorder the terms: 16 + -36 + 8r = 2 + -1(4 + r) Combine like terms: 16 + -36 = -20 -20 + 8r = 2 + -1(4 + r) -20 + 8r = 2 + (4 * -1 + r * -1) -20 + 8r = 2 + (-4 + -1r) Combine like terms: 2 + -4 = -2 -20 + 8r = -2 + -1r Solving -20 + 8r = -2 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -20 + 8r + r = -2 + -1r + r Combine like terms: 8r + r = 9r -20 + 9r = -2 + -1r + r Combine like terms: -1r + r = 0 -20 + 9r = -2 + 0 -20 + 9r = -2 Add '20' to each side of the equation. -20 + 20 + 9r = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 9r = -2 + 20 9r = -2 + 20 Combine like terms: -2 + 20 = 18 9r = 18 Divide each side by '9'. r = 2 Simplifying r = 2
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