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Simplifying 6(r + -4) + 1 = -19 + 5r Reorder the terms: 6(-4 + r) + 1 = -19 + 5r (-4 * 6 + r * 6) + 1 = -19 + 5r (-24 + 6r) + 1 = -19 + 5r Reorder the terms: -24 + 1 + 6r = -19 + 5r Combine like terms: -24 + 1 = -23 -23 + 6r = -19 + 5r Solving -23 + 6r = -19 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -23 + 6r + -5r = -19 + 5r + -5r Combine like terms: 6r + -5r = 1r -23 + 1r = -19 + 5r + -5r Combine like terms: 5r + -5r = 0 -23 + 1r = -19 + 0 -23 + 1r = -19 Add '23' to each side of the equation. -23 + 23 + 1r = -19 + 23 Combine like terms: -23 + 23 = 0 0 + 1r = -19 + 23 1r = -19 + 23 Combine like terms: -19 + 23 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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