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Simplifying -3(1 + -5r) + 3(4r + -2) = -36 (1 * -3 + -5r * -3) + 3(4r + -2) = -36 (-3 + 15r) + 3(4r + -2) = -36 Reorder the terms: -3 + 15r + 3(-2 + 4r) = -36 -3 + 15r + (-2 * 3 + 4r * 3) = -36 -3 + 15r + (-6 + 12r) = -36 Reorder the terms: -3 + -6 + 15r + 12r = -36 Combine like terms: -3 + -6 = -9 -9 + 15r + 12r = -36 Combine like terms: 15r + 12r = 27r -9 + 27r = -36 Solving -9 + 27r = -36 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 27r = -36 + 9 Combine like terms: -9 + 9 = 0 0 + 27r = -36 + 9 27r = -36 + 9 Combine like terms: -36 + 9 = -27 27r = -27 Divide each side by '27'. r = -1 Simplifying r = -1
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