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Simplifying r + 5(r + -9) = 3(4r + 1) Reorder the terms: r + 5(-9 + r) = 3(4r + 1) r + (-9 * 5 + r * 5) = 3(4r + 1) r + (-45 + 5r) = 3(4r + 1) Reorder the terms: -45 + r + 5r = 3(4r + 1) Combine like terms: r + 5r = 6r -45 + 6r = 3(4r + 1) Reorder the terms: -45 + 6r = 3(1 + 4r) -45 + 6r = (1 * 3 + 4r * 3) -45 + 6r = (3 + 12r) Solving -45 + 6r = 3 + 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. -45 + 6r + -12r = 3 + 12r + -12r Combine like terms: 6r + -12r = -6r -45 + -6r = 3 + 12r + -12r Combine like terms: 12r + -12r = 0 -45 + -6r = 3 + 0 -45 + -6r = 3 Add '45' to each side of the equation. -45 + 45 + -6r = 3 + 45 Combine like terms: -45 + 45 = 0 0 + -6r = 3 + 45 -6r = 3 + 45 Combine like terms: 3 + 45 = 48 -6r = 48 Divide each side by '-6'. r = -8 Simplifying r = -8
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