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Simplifying 12r + -4(r + 5) = 4(3r + -4) + -28 Reorder the terms: 12r + -4(5 + r) = 4(3r + -4) + -28 12r + (5 * -4 + r * -4) = 4(3r + -4) + -28 12r + (-20 + -4r) = 4(3r + -4) + -28 Reorder the terms: -20 + 12r + -4r = 4(3r + -4) + -28 Combine like terms: 12r + -4r = 8r -20 + 8r = 4(3r + -4) + -28 Reorder the terms: -20 + 8r = 4(-4 + 3r) + -28 -20 + 8r = (-4 * 4 + 3r * 4) + -28 -20 + 8r = (-16 + 12r) + -28 Reorder the terms: -20 + 8r = -16 + -28 + 12r Combine like terms: -16 + -28 = -44 -20 + 8r = -44 + 12r Solving -20 + 8r = -44 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -20 + 8r + -12r = -44 + 12r + -12r Combine like terms: 8r + -12r = -4r -20 + -4r = -44 + 12r + -12r Combine like terms: 12r + -12r = 0 -20 + -4r = -44 + 0 -20 + -4r = -44 Add '20' to each side of the equation. -20 + 20 + -4r = -44 + 20 Combine like terms: -20 + 20 = 0 0 + -4r = -44 + 20 -4r = -44 + 20 Combine like terms: -44 + 20 = -24 -4r = -24 Divide each side by '-4'. r = 6 Simplifying r = 6
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