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Simplifying 3(4r + -5) + -6r = 4r + 7 Reorder the terms: 3(-5 + 4r) + -6r = 4r + 7 (-5 * 3 + 4r * 3) + -6r = 4r + 7 (-15 + 12r) + -6r = 4r + 7 Combine like terms: 12r + -6r = 6r -15 + 6r = 4r + 7 Reorder the terms: -15 + 6r = 7 + 4r Solving -15 + 6r = 7 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -15 + 6r + -4r = 7 + 4r + -4r Combine like terms: 6r + -4r = 2r -15 + 2r = 7 + 4r + -4r Combine like terms: 4r + -4r = 0 -15 + 2r = 7 + 0 -15 + 2r = 7 Add '15' to each side of the equation. -15 + 15 + 2r = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 2r = 7 + 15 2r = 7 + 15 Combine like terms: 7 + 15 = 22 2r = 22 Divide each side by '2'. r = 11 Simplifying r = 11
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