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Simplifying -12 + 3r = 6(2r + 7) Reorder the terms: -12 + 3r = 6(7 + 2r) -12 + 3r = (7 * 6 + 2r * 6) -12 + 3r = (42 + 12r) Solving -12 + 3r = 42 + 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. -12 + 3r + -12r = 42 + 12r + -12r Combine like terms: 3r + -12r = -9r -12 + -9r = 42 + 12r + -12r Combine like terms: 12r + -12r = 0 -12 + -9r = 42 + 0 -12 + -9r = 42 Add '12' to each side of the equation. -12 + 12 + -9r = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -9r = 42 + 12 -9r = 42 + 12 Combine like terms: 42 + 12 = 54 -9r = 54 Divide each side by '-9'. r = -6 Simplifying r = -6
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