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Simplifying 6(r + -3) = 4(3r + 4) Reorder the terms: 6(-3 + r) = 4(3r + 4) (-3 * 6 + r * 6) = 4(3r + 4) (-18 + 6r) = 4(3r + 4) Reorder the terms: -18 + 6r = 4(4 + 3r) -18 + 6r = (4 * 4 + 3r * 4) -18 + 6r = (16 + 12r) Solving -18 + 6r = 16 + 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. -18 + 6r + -12r = 16 + 12r + -12r Combine like terms: 6r + -12r = -6r -18 + -6r = 16 + 12r + -12r Combine like terms: 12r + -12r = 0 -18 + -6r = 16 + 0 -18 + -6r = 16 Add '18' to each side of the equation. -18 + 18 + -6r = 16 + 18 Combine like terms: -18 + 18 = 0 0 + -6r = 16 + 18 -6r = 16 + 18 Combine like terms: 16 + 18 = 34 -6r = 34 Divide each side by '-6'. r = -5.666666667 Simplifying r = -5.666666667
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