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Simplifying 2 + 3(2r + -7) + -3(4r + 5) + -10 = 0 Reorder the terms: 2 + 3(-7 + 2r) + -3(4r + 5) + -10 = 0 2 + (-7 * 3 + 2r * 3) + -3(4r + 5) + -10 = 0 2 + (-21 + 6r) + -3(4r + 5) + -10 = 0 Reorder the terms: 2 + -21 + 6r + -3(5 + 4r) + -10 = 0 2 + -21 + 6r + (5 * -3 + 4r * -3) + -10 = 0 2 + -21 + 6r + (-15 + -12r) + -10 = 0 Reorder the terms: 2 + -21 + -15 + -10 + 6r + -12r = 0 Combine like terms: 2 + -21 = -19 -19 + -15 + -10 + 6r + -12r = 0 Combine like terms: -19 + -15 = -34 -34 + -10 + 6r + -12r = 0 Combine like terms: -34 + -10 = -44 -44 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -44 + -6r = 0 Solving -44 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -6r = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -6r = 0 + 44 -6r = 0 + 44 Combine like terms: 0 + 44 = 44 -6r = 44 Divide each side by '-6'. r = -7.333333333 Simplifying r = -7.333333333
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