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Simplifying 4(1 + -3r) + -4(r + 7) = -24 (1 * 4 + -3r * 4) + -4(r + 7) = -24 (4 + -12r) + -4(r + 7) = -24 Reorder the terms: 4 + -12r + -4(7 + r) = -24 4 + -12r + (7 * -4 + r * -4) = -24 4 + -12r + (-28 + -4r) = -24 Reorder the terms: 4 + -28 + -12r + -4r = -24 Combine like terms: 4 + -28 = -24 -24 + -12r + -4r = -24 Combine like terms: -12r + -4r = -16r -24 + -16r = -24 Add '24' to each side of the equation. -24 + 24 + -16r = -24 + 24 Combine like terms: -24 + 24 = 0 0 + -16r = -24 + 24 -16r = -24 + 24 Combine like terms: -24 + 24 = 0 -16r = 0 Solving -16r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '-16'. r = 0 Simplifying r = 0
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