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Simplifying -4(2r + 7) + -7(1 + 4r) = 73 Reorder the terms: -4(7 + 2r) + -7(1 + 4r) = 73 (7 * -4 + 2r * -4) + -7(1 + 4r) = 73 (-28 + -8r) + -7(1 + 4r) = 73 -28 + -8r + (1 * -7 + 4r * -7) = 73 -28 + -8r + (-7 + -28r) = 73 Reorder the terms: -28 + -7 + -8r + -28r = 73 Combine like terms: -28 + -7 = -35 -35 + -8r + -28r = 73 Combine like terms: -8r + -28r = -36r -35 + -36r = 73 Solving -35 + -36r = 73 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -36r = 73 + 35 Combine like terms: -35 + 35 = 0 0 + -36r = 73 + 35 -36r = 73 + 35 Combine like terms: 73 + 35 = 108 -36r = 108 Divide each side by '-36'. r = -3 Simplifying r = -3
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