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Simplifying 5(r + -10) + 4 = 6(r + 4) + -68 Reorder the terms: 5(-10 + r) + 4 = 6(r + 4) + -68 (-10 * 5 + r * 5) + 4 = 6(r + 4) + -68 (-50 + 5r) + 4 = 6(r + 4) + -68 Reorder the terms: -50 + 4 + 5r = 6(r + 4) + -68 Combine like terms: -50 + 4 = -46 -46 + 5r = 6(r + 4) + -68 Reorder the terms: -46 + 5r = 6(4 + r) + -68 -46 + 5r = (4 * 6 + r * 6) + -68 -46 + 5r = (24 + 6r) + -68 Reorder the terms: -46 + 5r = 24 + -68 + 6r Combine like terms: 24 + -68 = -44 -46 + 5r = -44 + 6r Solving -46 + 5r = -44 + 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. -46 + 5r + -6r = -44 + 6r + -6r Combine like terms: 5r + -6r = -1r -46 + -1r = -44 + 6r + -6r Combine like terms: 6r + -6r = 0 -46 + -1r = -44 + 0 -46 + -1r = -44 Add '46' to each side of the equation. -46 + 46 + -1r = -44 + 46 Combine like terms: -46 + 46 = 0 0 + -1r = -44 + 46 -1r = -44 + 46 Combine like terms: -44 + 46 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2
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