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Simplifying 45 + 3r = 6(2r + -3) Reorder the terms: 45 + 3r = 6(-3 + 2r) 45 + 3r = (-3 * 6 + 2r * 6) 45 + 3r = (-18 + 12r) Solving 45 + 3r = -18 + 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. 45 + 3r + -12r = -18 + 12r + -12r Combine like terms: 3r + -12r = -9r 45 + -9r = -18 + 12r + -12r Combine like terms: 12r + -12r = 0 45 + -9r = -18 + 0 45 + -9r = -18 Add '-45' to each side of the equation. 45 + -45 + -9r = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -9r = -18 + -45 -9r = -18 + -45 Combine like terms: -18 + -45 = -63 -9r = -63 Divide each side by '-9'. r = 7 Simplifying r = 7
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