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Simplifying 5(r + -19) = 2(r + -4) + -6 Reorder the terms: 5(-19 + r) = 2(r + -4) + -6 (-19 * 5 + r * 5) = 2(r + -4) + -6 (-95 + 5r) = 2(r + -4) + -6 Reorder the terms: -95 + 5r = 2(-4 + r) + -6 -95 + 5r = (-4 * 2 + r * 2) + -6 -95 + 5r = (-8 + 2r) + -6 Reorder the terms: -95 + 5r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -95 + 5r = -14 + 2r Solving -95 + 5r = -14 + 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. -95 + 5r + -2r = -14 + 2r + -2r Combine like terms: 5r + -2r = 3r -95 + 3r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -95 + 3r = -14 + 0 -95 + 3r = -14 Add '95' to each side of the equation. -95 + 95 + 3r = -14 + 95 Combine like terms: -95 + 95 = 0 0 + 3r = -14 + 95 3r = -14 + 95 Combine like terms: -14 + 95 = 81 3r = 81 Divide each side by '3'. r = 27 Simplifying r = 27
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