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Simplifying 2(3r + -18) = -3(-7r + -13) Reorder the terms: 2(-18 + 3r) = -3(-7r + -13) (-18 * 2 + 3r * 2) = -3(-7r + -13) (-36 + 6r) = -3(-7r + -13) Reorder the terms: -36 + 6r = -3(-13 + -7r) -36 + 6r = (-13 * -3 + -7r * -3) -36 + 6r = (39 + 21r) Solving -36 + 6r = 39 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -36 + 6r + -21r = 39 + 21r + -21r Combine like terms: 6r + -21r = -15r -36 + -15r = 39 + 21r + -21r Combine like terms: 21r + -21r = 0 -36 + -15r = 39 + 0 -36 + -15r = 39 Add '36' to each side of the equation. -36 + 36 + -15r = 39 + 36 Combine like terms: -36 + 36 = 0 0 + -15r = 39 + 36 -15r = 39 + 36 Combine like terms: 39 + 36 = 75 -15r = 75 Divide each side by '-15'. r = -5 Simplifying r = -5
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