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Simplifying 7r + 5(r + -3) = 8(r + 3) + -3 Reorder the terms: 7r + 5(-3 + r) = 8(r + 3) + -3 7r + (-3 * 5 + r * 5) = 8(r + 3) + -3 7r + (-15 + 5r) = 8(r + 3) + -3 Reorder the terms: -15 + 7r + 5r = 8(r + 3) + -3 Combine like terms: 7r + 5r = 12r -15 + 12r = 8(r + 3) + -3 Reorder the terms: -15 + 12r = 8(3 + r) + -3 -15 + 12r = (3 * 8 + r * 8) + -3 -15 + 12r = (24 + 8r) + -3 Reorder the terms: -15 + 12r = 24 + -3 + 8r Combine like terms: 24 + -3 = 21 -15 + 12r = 21 + 8r Solving -15 + 12r = 21 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -15 + 12r + -8r = 21 + 8r + -8r Combine like terms: 12r + -8r = 4r -15 + 4r = 21 + 8r + -8r Combine like terms: 8r + -8r = 0 -15 + 4r = 21 + 0 -15 + 4r = 21 Add '15' to each side of the equation. -15 + 15 + 4r = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 4r = 21 + 15 4r = 21 + 15 Combine like terms: 21 + 15 = 36 4r = 36 Divide each side by '4'. r = 9 Simplifying r = 9
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