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Simplifying 3(4r + -7) + -4(r + 2) = 0 Reorder the terms: 3(-7 + 4r) + -4(r + 2) = 0 (-7 * 3 + 4r * 3) + -4(r + 2) = 0 (-21 + 12r) + -4(r + 2) = 0 Reorder the terms: -21 + 12r + -4(2 + r) = 0 -21 + 12r + (2 * -4 + r * -4) = 0 -21 + 12r + (-8 + -4r) = 0 Reorder the terms: -21 + -8 + 12r + -4r = 0 Combine like terms: -21 + -8 = -29 -29 + 12r + -4r = 0 Combine like terms: 12r + -4r = 8r -29 + 8r = 0 Solving -29 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 8r = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8r = 0 + 29 8r = 0 + 29 Combine like terms: 0 + 29 = 29 8r = 29 Divide each side by '8'. r = 3.625 Simplifying r = 3.625
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