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Simplifying 8(2r + -3) + -1r = 3(3r + 2) Reorder the terms: 8(-3 + 2r) + -1r = 3(3r + 2) (-3 * 8 + 2r * 8) + -1r = 3(3r + 2) (-24 + 16r) + -1r = 3(3r + 2) Combine like terms: 16r + -1r = 15r -24 + 15r = 3(3r + 2) Reorder the terms: -24 + 15r = 3(2 + 3r) -24 + 15r = (2 * 3 + 3r * 3) -24 + 15r = (6 + 9r) Solving -24 + 15r = 6 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -24 + 15r + -9r = 6 + 9r + -9r Combine like terms: 15r + -9r = 6r -24 + 6r = 6 + 9r + -9r Combine like terms: 9r + -9r = 0 -24 + 6r = 6 + 0 -24 + 6r = 6 Add '24' to each side of the equation. -24 + 24 + 6r = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 6r = 6 + 24 6r = 6 + 24 Combine like terms: 6 + 24 = 30 6r = 30 Divide each side by '6'. r = 5 Simplifying r = 5
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