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Simplifying 3(-3 + -5r) = -2(1 + -6r) + 8 (-3 * 3 + -5r * 3) = -2(1 + -6r) + 8 (-9 + -15r) = -2(1 + -6r) + 8 -9 + -15r = (1 * -2 + -6r * -2) + 8 -9 + -15r = (-2 + 12r) + 8 Reorder the terms: -9 + -15r = -2 + 8 + 12r Combine like terms: -2 + 8 = 6 -9 + -15r = 6 + 12r Solving -9 + -15r = 6 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -9 + -15r + -12r = 6 + 12r + -12r Combine like terms: -15r + -12r = -27r -9 + -27r = 6 + 12r + -12r Combine like terms: 12r + -12r = 0 -9 + -27r = 6 + 0 -9 + -27r = 6 Add '9' to each side of the equation. -9 + 9 + -27r = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -27r = 6 + 9 -27r = 6 + 9 Combine like terms: 6 + 9 = 15 -27r = 15 Divide each side by '-27'. r = -0.5555555556 Simplifying r = -0.5555555556
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