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Simplifying r + 7 = 3(2r + -6) Reorder the terms: 7 + r = 3(2r + -6) Reorder the terms: 7 + r = 3(-6 + 2r) 7 + r = (-6 * 3 + 2r * 3) 7 + r = (-18 + 6r) Solving 7 + r = -18 + 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. 7 + r + -6r = -18 + 6r + -6r Combine like terms: r + -6r = -5r 7 + -5r = -18 + 6r + -6r Combine like terms: 6r + -6r = 0 7 + -5r = -18 + 0 7 + -5r = -18 Add '-7' to each side of the equation. 7 + -7 + -5r = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -5r = -18 + -7 -5r = -18 + -7 Combine like terms: -18 + -7 = -25 -5r = -25 Divide each side by '-5'. r = 5 Simplifying r = 5
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