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Simplifying 7 + 3(2r + -2) + -3(4r + 5) + -8 = 0 Reorder the terms: 7 + 3(-2 + 2r) + -3(4r + 5) + -8 = 0 7 + (-2 * 3 + 2r * 3) + -3(4r + 5) + -8 = 0 7 + (-6 + 6r) + -3(4r + 5) + -8 = 0 Reorder the terms: 7 + -6 + 6r + -3(5 + 4r) + -8 = 0 7 + -6 + 6r + (5 * -3 + 4r * -3) + -8 = 0 7 + -6 + 6r + (-15 + -12r) + -8 = 0 Reorder the terms: 7 + -6 + -15 + -8 + 6r + -12r = 0 Combine like terms: 7 + -6 = 1 1 + -15 + -8 + 6r + -12r = 0 Combine like terms: 1 + -15 = -14 -14 + -8 + 6r + -12r = 0 Combine like terms: -14 + -8 = -22 -22 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -22 + -6r = 0 Solving -22 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6r = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6r = 0 + 22 -6r = 0 + 22 Combine like terms: 0 + 22 = 22 -6r = 22 Divide each side by '-6'. r = -3.666666667 Simplifying r = -3.666666667
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