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Simplifying 2(8r + -5) = 2r + -1(-18) Reorder the terms: 2(-5 + 8r) = 2r + -1(-18) (-5 * 2 + 8r * 2) = 2r + -1(-18) (-10 + 16r) = 2r + -1(-18) Multiply -1 * -18 -10 + 16r = 2r + 18 Reorder the terms: -10 + 16r = 18 + 2r Solving -10 + 16r = 18 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -10 + 16r + -2r = 18 + 2r + -2r Combine like terms: 16r + -2r = 14r -10 + 14r = 18 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 14r = 18 + 0 -10 + 14r = 18 Add '10' to each side of the equation. -10 + 10 + 14r = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 14r = 18 + 10 14r = 18 + 10 Combine like terms: 18 + 10 = 28 14r = 28 Divide each side by '14'. r = 2 Simplifying r = 2
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