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Simplifying 4(5r + -3) + -2(6r + -7) = 0 Reorder the terms: 4(-3 + 5r) + -2(6r + -7) = 0 (-3 * 4 + 5r * 4) + -2(6r + -7) = 0 (-12 + 20r) + -2(6r + -7) = 0 Reorder the terms: -12 + 20r + -2(-7 + 6r) = 0 -12 + 20r + (-7 * -2 + 6r * -2) = 0 -12 + 20r + (14 + -12r) = 0 Reorder the terms: -12 + 14 + 20r + -12r = 0 Combine like terms: -12 + 14 = 2 2 + 20r + -12r = 0 Combine like terms: 20r + -12r = 8r 2 + 8r = 0 Solving 2 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8r = 0 + -2 8r = 0 + -2 Combine like terms: 0 + -2 = -2 8r = -2 Divide each side by '8'. r = -0.25 Simplifying r = -0.25
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