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Simplifying -5(2r + 4) = 3(2r + 9) + 4r + -7 Reorder the terms: -5(4 + 2r) = 3(2r + 9) + 4r + -7 (4 * -5 + 2r * -5) = 3(2r + 9) + 4r + -7 (-20 + -10r) = 3(2r + 9) + 4r + -7 Reorder the terms: -20 + -10r = 3(9 + 2r) + 4r + -7 -20 + -10r = (9 * 3 + 2r * 3) + 4r + -7 -20 + -10r = (27 + 6r) + 4r + -7 Reorder the terms: -20 + -10r = 27 + -7 + 6r + 4r Combine like terms: 27 + -7 = 20 -20 + -10r = 20 + 6r + 4r Combine like terms: 6r + 4r = 10r -20 + -10r = 20 + 10r Solving -20 + -10r = 20 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -20 + -10r + -10r = 20 + 10r + -10r Combine like terms: -10r + -10r = -20r -20 + -20r = 20 + 10r + -10r Combine like terms: 10r + -10r = 0 -20 + -20r = 20 + 0 -20 + -20r = 20 Add '20' to each side of the equation. -20 + 20 + -20r = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -20r = 20 + 20 -20r = 20 + 20 Combine like terms: 20 + 20 = 40 -20r = 40 Divide each side by '-20'. r = -2 Simplifying r = -2
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