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Simplifying -19 + r = 3(2r + -5) + 6 Reorder the terms: -19 + r = 3(-5 + 2r) + 6 -19 + r = (-5 * 3 + 2r * 3) + 6 -19 + r = (-15 + 6r) + 6 Reorder the terms: -19 + r = -15 + 6 + 6r Combine like terms: -15 + 6 = -9 -19 + r = -9 + 6r Solving -19 + r = -9 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -19 + r + -6r = -9 + 6r + -6r Combine like terms: r + -6r = -5r -19 + -5r = -9 + 6r + -6r Combine like terms: 6r + -6r = 0 -19 + -5r = -9 + 0 -19 + -5r = -9 Add '19' to each side of the equation. -19 + 19 + -5r = -9 + 19 Combine like terms: -19 + 19 = 0 0 + -5r = -9 + 19 -5r = -9 + 19 Combine like terms: -9 + 19 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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