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Simplifying 3(5r + -4) + -4(r + 9) = 0 Reorder the terms: 3(-4 + 5r) + -4(r + 9) = 0 (-4 * 3 + 5r * 3) + -4(r + 9) = 0 (-12 + 15r) + -4(r + 9) = 0 Reorder the terms: -12 + 15r + -4(9 + r) = 0 -12 + 15r + (9 * -4 + r * -4) = 0 -12 + 15r + (-36 + -4r) = 0 Reorder the terms: -12 + -36 + 15r + -4r = 0 Combine like terms: -12 + -36 = -48 -48 + 15r + -4r = 0 Combine like terms: 15r + -4r = 11r -48 + 11r = 0 Solving -48 + 11r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 11r = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 11r = 0 + 48 11r = 0 + 48 Combine like terms: 0 + 48 = 48 11r = 48 Divide each side by '11'. r = 4.363636364 Simplifying r = 4.363636364
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