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Simplifying 8(2r + -3) + -1r = 3(3r + -14) Reorder the terms: 8(-3 + 2r) + -1r = 3(3r + -14) (-3 * 8 + 2r * 8) + -1r = 3(3r + -14) (-24 + 16r) + -1r = 3(3r + -14) Combine like terms: 16r + -1r = 15r -24 + 15r = 3(3r + -14) Reorder the terms: -24 + 15r = 3(-14 + 3r) -24 + 15r = (-14 * 3 + 3r * 3) -24 + 15r = (-42 + 9r) Solving -24 + 15r = -42 + 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 = -42 + 9r + -9r Combine like terms: 15r + -9r = 6r -24 + 6r = -42 + 9r + -9r Combine like terms: 9r + -9r = 0 -24 + 6r = -42 + 0 -24 + 6r = -42 Add '24' to each side of the equation. -24 + 24 + 6r = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 6r = -42 + 24 6r = -42 + 24 Combine like terms: -42 + 24 = -18 6r = -18 Divide each side by '6'. r = -3 Simplifying r = -3
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