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Simplifying -3(2r + 9) + -4(r + 8) = 0 Reorder the terms: -3(9 + 2r) + -4(r + 8) = 0 (9 * -3 + 2r * -3) + -4(r + 8) = 0 (-27 + -6r) + -4(r + 8) = 0 Reorder the terms: -27 + -6r + -4(8 + r) = 0 -27 + -6r + (8 * -4 + r * -4) = 0 -27 + -6r + (-32 + -4r) = 0 Reorder the terms: -27 + -32 + -6r + -4r = 0 Combine like terms: -27 + -32 = -59 -59 + -6r + -4r = 0 Combine like terms: -6r + -4r = -10r -59 + -10r = 0 Solving -59 + -10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -10r = 0 + 59 Combine like terms: -59 + 59 = 0 0 + -10r = 0 + 59 -10r = 0 + 59 Combine like terms: 0 + 59 = 59 -10r = 59 Divide each side by '-10'. r = -5.9 Simplifying r = -5.9
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