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Simplifying 4(r + -9) + 2 = 12r + 4 Reorder the terms: 4(-9 + r) + 2 = 12r + 4 (-9 * 4 + r * 4) + 2 = 12r + 4 (-36 + 4r) + 2 = 12r + 4 Reorder the terms: -36 + 2 + 4r = 12r + 4 Combine like terms: -36 + 2 = -34 -34 + 4r = 12r + 4 Reorder the terms: -34 + 4r = 4 + 12r Solving -34 + 4r = 4 + 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. -34 + 4r + -12r = 4 + 12r + -12r Combine like terms: 4r + -12r = -8r -34 + -8r = 4 + 12r + -12r Combine like terms: 12r + -12r = 0 -34 + -8r = 4 + 0 -34 + -8r = 4 Add '34' to each side of the equation. -34 + 34 + -8r = 4 + 34 Combine like terms: -34 + 34 = 0 0 + -8r = 4 + 34 -8r = 4 + 34 Combine like terms: 4 + 34 = 38 -8r = 38 Divide each side by '-8'. r = -4.75 Simplifying r = -4.75
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