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Simplifying 7r + -6 = 7(2r + 3) Reorder the terms: -6 + 7r = 7(2r + 3) Reorder the terms: -6 + 7r = 7(3 + 2r) -6 + 7r = (3 * 7 + 2r * 7) -6 + 7r = (21 + 14r) Solving -6 + 7r = 21 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -6 + 7r + -14r = 21 + 14r + -14r Combine like terms: 7r + -14r = -7r -6 + -7r = 21 + 14r + -14r Combine like terms: 14r + -14r = 0 -6 + -7r = 21 + 0 -6 + -7r = 21 Add '6' to each side of the equation. -6 + 6 + -7r = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -7r = 21 + 6 -7r = 21 + 6 Combine like terms: 21 + 6 = 27 -7r = 27 Divide each side by '-7'. r = -3.857142857 Simplifying r = -3.857142857
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