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