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Simplifying 6(-2r + -3) = -45 + -9r Reorder the terms: 6(-3 + -2r) = -45 + -9r (-3 * 6 + -2r * 6) = -45 + -9r (-18 + -12r) = -45 + -9r Solving -18 + -12r = -45 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -18 + -12r + 9r = -45 + -9r + 9r Combine like terms: -12r + 9r = -3r -18 + -3r = -45 + -9r + 9r Combine like terms: -9r + 9r = 0 -18 + -3r = -45 + 0 -18 + -3r = -45 Add '18' to each side of the equation. -18 + 18 + -3r = -45 + 18 Combine like terms: -18 + 18 = 0 0 + -3r = -45 + 18 -3r = -45 + 18 Combine like terms: -45 + 18 = -27 -3r = -27 Divide each side by '-3'. r = 9 Simplifying r = 9
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