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Simplifying 3(3r + 6) + -8(2r + 5) = 7r + -1 + 7 Reorder the terms: 3(6 + 3r) + -8(2r + 5) = 7r + -1 + 7 (6 * 3 + 3r * 3) + -8(2r + 5) = 7r + -1 + 7 (18 + 9r) + -8(2r + 5) = 7r + -1 + 7 Reorder the terms: 18 + 9r + -8(5 + 2r) = 7r + -1 + 7 18 + 9r + (5 * -8 + 2r * -8) = 7r + -1 + 7 18 + 9r + (-40 + -16r) = 7r + -1 + 7 Reorder the terms: 18 + -40 + 9r + -16r = 7r + -1 + 7 Combine like terms: 18 + -40 = -22 -22 + 9r + -16r = 7r + -1 + 7 Combine like terms: 9r + -16r = -7r -22 + -7r = 7r + -1 + 7 Reorder the terms: -22 + -7r = -1 + 7 + 7r Combine like terms: -1 + 7 = 6 -22 + -7r = 6 + 7r Solving -22 + -7r = 6 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -22 + -7r + -7r = 6 + 7r + -7r Combine like terms: -7r + -7r = -14r -22 + -14r = 6 + 7r + -7r Combine like terms: 7r + -7r = 0 -22 + -14r = 6 + 0 -22 + -14r = 6 Add '22' to each side of the equation. -22 + 22 + -14r = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -14r = 6 + 22 -14r = 6 + 22 Combine like terms: 6 + 22 = 28 -14r = 28 Divide each side by '-14'. r = -2 Simplifying r = -2
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