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Simplifying -2r + 6 = 4(3r + 2) Reorder the terms: 6 + -2r = 4(3r + 2) Reorder the terms: 6 + -2r = 4(2 + 3r) 6 + -2r = (2 * 4 + 3r * 4) 6 + -2r = (8 + 12r) Solving 6 + -2r = 8 + 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. 6 + -2r + -12r = 8 + 12r + -12r Combine like terms: -2r + -12r = -14r 6 + -14r = 8 + 12r + -12r Combine like terms: 12r + -12r = 0 6 + -14r = 8 + 0 6 + -14r = 8 Add '-6' to each side of the equation. 6 + -6 + -14r = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -14r = 8 + -6 -14r = 8 + -6 Combine like terms: 8 + -6 = 2 -14r = 2 Divide each side by '-14'. r = -0.1428571429 Simplifying r = -0.1428571429
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