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Simplifying -9(4r + 7) + 8(3r + 4) = 0 Reorder the terms: -9(7 + 4r) + 8(3r + 4) = 0 (7 * -9 + 4r * -9) + 8(3r + 4) = 0 (-63 + -36r) + 8(3r + 4) = 0 Reorder the terms: -63 + -36r + 8(4 + 3r) = 0 -63 + -36r + (4 * 8 + 3r * 8) = 0 -63 + -36r + (32 + 24r) = 0 Reorder the terms: -63 + 32 + -36r + 24r = 0 Combine like terms: -63 + 32 = -31 -31 + -36r + 24r = 0 Combine like terms: -36r + 24r = -12r -31 + -12r = 0 Solving -31 + -12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -12r = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -12r = 0 + 31 -12r = 0 + 31 Combine like terms: 0 + 31 = 31 -12r = 31 Divide each side by '-12'. r = -2.583333333 Simplifying r = -2.583333333
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