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Simplifying 3(5r + -5) + -4(3r + -1) = 0 Reorder the terms: 3(-5 + 5r) + -4(3r + -1) = 0 (-5 * 3 + 5r * 3) + -4(3r + -1) = 0 (-15 + 15r) + -4(3r + -1) = 0 Reorder the terms: -15 + 15r + -4(-1 + 3r) = 0 -15 + 15r + (-1 * -4 + 3r * -4) = 0 -15 + 15r + (4 + -12r) = 0 Reorder the terms: -15 + 4 + 15r + -12r = 0 Combine like terms: -15 + 4 = -11 -11 + 15r + -12r = 0 Combine like terms: 15r + -12r = 3r -11 + 3r = 0 Solving -11 + 3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3r = 0 + 11 3r = 0 + 11 Combine like terms: 0 + 11 = 11 3r = 11 Divide each side by '3'. r = 3.666666667 Simplifying r = 3.666666667
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