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Simplifying 12r + -15 = 3(2r + 3) Reorder the terms: -15 + 12r = 3(2r + 3) Reorder the terms: -15 + 12r = 3(3 + 2r) -15 + 12r = (3 * 3 + 2r * 3) -15 + 12r = (9 + 6r) Solving -15 + 12r = 9 + 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 + 12r + -6r = 9 + 6r + -6r Combine like terms: 12r + -6r = 6r -15 + 6r = 9 + 6r + -6r Combine like terms: 6r + -6r = 0 -15 + 6r = 9 + 0 -15 + 6r = 9 Add '15' to each side of the equation. -15 + 15 + 6r = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6r = 9 + 15 6r = 9 + 15 Combine like terms: 9 + 15 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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