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Simplifying 2(r + -4) = 4[r + (-7)] Reorder the terms: 2(-4 + r) = 4[r + (-7)] (-4 * 2 + r * 2) = 4[r + (-7)] (-8 + 2r) = 4[r + (-7)] -8 + 2r = 4[r + -7] Reorder the terms: -8 + 2r = 4[-7 + r] -8 + 2r = [-7 * 4 + r * 4] -8 + 2r = [-28 + 4r] Solving -8 + 2r = -28 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -8 + 2r + -4r = -28 + 4r + -4r Combine like terms: 2r + -4r = -2r -8 + -2r = -28 + 4r + -4r Combine like terms: 4r + -4r = 0 -8 + -2r = -28 + 0 -8 + -2r = -28 Add '8' to each side of the equation. -8 + 8 + -2r = -28 + 8 Combine like terms: -8 + 8 = 0 0 + -2r = -28 + 8 -2r = -28 + 8 Combine like terms: -28 + 8 = -20 -2r = -20 Divide each side by '-2'. r = 10 Simplifying r = 10
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