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Simplifying 11r + -3(r + 4) = 5(4r + -4) + -28 Reorder the terms: 11r + -3(4 + r) = 5(4r + -4) + -28 11r + (4 * -3 + r * -3) = 5(4r + -4) + -28 11r + (-12 + -3r) = 5(4r + -4) + -28 Reorder the terms: -12 + 11r + -3r = 5(4r + -4) + -28 Combine like terms: 11r + -3r = 8r -12 + 8r = 5(4r + -4) + -28 Reorder the terms: -12 + 8r = 5(-4 + 4r) + -28 -12 + 8r = (-4 * 5 + 4r * 5) + -28 -12 + 8r = (-20 + 20r) + -28 Reorder the terms: -12 + 8r = -20 + -28 + 20r Combine like terms: -20 + -28 = -48 -12 + 8r = -48 + 20r Solving -12 + 8r = -48 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. -12 + 8r + -20r = -48 + 20r + -20r Combine like terms: 8r + -20r = -12r -12 + -12r = -48 + 20r + -20r Combine like terms: 20r + -20r = 0 -12 + -12r = -48 + 0 -12 + -12r = -48 Add '12' to each side of the equation. -12 + 12 + -12r = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -12r = -48 + 12 -12r = -48 + 12 Combine like terms: -48 + 12 = -36 -12r = -36 Divide each side by '-12'. r = 3 Simplifying r = 3
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