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Simplifying 5r(-1) = 2(r + -4) + -6 Reorder the terms for easier multiplication: 5 * -1r = 2(r + -4) + -6 Multiply 5 * -1 -5r = 2(r + -4) + -6 Reorder the terms: -5r = 2(-4 + r) + -6 -5r = (-4 * 2 + r * 2) + -6 -5r = (-8 + 2r) + -6 Reorder the terms: -5r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -5r = -14 + 2r Solving -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. -5r + -2r = -14 + 2r + -2r Combine like terms: -5r + -2r = -7r -7r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -7r = -14 + 0 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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