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Simplifying 2(r + -4) = 5r + (-7) Reorder the terms: 2(-4 + r) = 5r + (-7) (-4 * 2 + r * 2) = 5r + (-7) (-8 + 2r) = 5r + (-7) -8 + 2r = 5r + -7 Reorder the terms: -8 + 2r = -7 + 5r Solving -8 + 2r = -7 + 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. -8 + 2r + -5r = -7 + 5r + -5r Combine like terms: 2r + -5r = -3r -8 + -3r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 -8 + -3r = -7 + 0 -8 + -3r = -7 Add '8' to each side of the equation. -8 + 8 + -3r = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -3r = -7 + 8 -3r = -7 + 8 Combine like terms: -7 + 8 = 1 -3r = 1 Divide each side by '-3'. r = -0.3333333333 Simplifying r = -0.3333333333
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