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Simplifying -9(r + 1) + 4 = -2(12 + 4r) Reorder the terms: -9(1 + r) + 4 = -2(12 + 4r) (1 * -9 + r * -9) + 4 = -2(12 + 4r) (-9 + -9r) + 4 = -2(12 + 4r) Reorder the terms: -9 + 4 + -9r = -2(12 + 4r) Combine like terms: -9 + 4 = -5 -5 + -9r = -2(12 + 4r) -5 + -9r = (12 * -2 + 4r * -2) -5 + -9r = (-24 + -8r) Solving -5 + -9r = -24 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -5 + -9r + 8r = -24 + -8r + 8r Combine like terms: -9r + 8r = -1r -5 + -1r = -24 + -8r + 8r Combine like terms: -8r + 8r = 0 -5 + -1r = -24 + 0 -5 + -1r = -24 Add '5' to each side of the equation. -5 + 5 + -1r = -24 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = -24 + 5 -1r = -24 + 5 Combine like terms: -24 + 5 = -19 -1r = -19 Divide each side by '-1'. r = 19 Simplifying r = 19
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