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Simplifying 0 = 3(2r + 7) + 3(3r + -5) Reorder the terms: 0 = 3(7 + 2r) + 3(3r + -5) 0 = (7 * 3 + 2r * 3) + 3(3r + -5) 0 = (21 + 6r) + 3(3r + -5) Reorder the terms: 0 = 21 + 6r + 3(-5 + 3r) 0 = 21 + 6r + (-5 * 3 + 3r * 3) 0 = 21 + 6r + (-15 + 9r) Reorder the terms: 0 = 21 + -15 + 6r + 9r Combine like terms: 21 + -15 = 6 0 = 6 + 6r + 9r Combine like terms: 6r + 9r = 15r 0 = 6 + 15r Solving 0 = 6 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 0 + -15r = 6 + 15r + -15r Remove the zero: -15r = 6 + 15r + -15r Combine like terms: 15r + -15r = 0 -15r = 6 + 0 -15r = 6 Divide each side by '-15'. r = -0.4 Simplifying r = -0.4
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