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Simplifying -12 + 7r = r + 6(2r + 3) Reorder the terms: -12 + 7r = r + 6(3 + 2r) -12 + 7r = r + (3 * 6 + 2r * 6) -12 + 7r = r + (18 + 12r) Reorder the terms: -12 + 7r = 18 + r + 12r Combine like terms: r + 12r = 13r -12 + 7r = 18 + 13r Solving -12 + 7r = 18 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. -12 + 7r + -13r = 18 + 13r + -13r Combine like terms: 7r + -13r = -6r -12 + -6r = 18 + 13r + -13r Combine like terms: 13r + -13r = 0 -12 + -6r = 18 + 0 -12 + -6r = 18 Add '12' to each side of the equation. -12 + 12 + -6r = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -6r = 18 + 12 -6r = 18 + 12 Combine like terms: 18 + 12 = 30 -6r = 30 Divide each side by '-6'. r = -5 Simplifying r = -5
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