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Simplifying 7 + 3(2r + -5) + -3(4r + 4) + -7 = 0 Reorder the terms: 7 + 3(-5 + 2r) + -3(4r + 4) + -7 = 0 7 + (-5 * 3 + 2r * 3) + -3(4r + 4) + -7 = 0 7 + (-15 + 6r) + -3(4r + 4) + -7 = 0 Reorder the terms: 7 + -15 + 6r + -3(4 + 4r) + -7 = 0 7 + -15 + 6r + (4 * -3 + 4r * -3) + -7 = 0 7 + -15 + 6r + (-12 + -12r) + -7 = 0 Reorder the terms: 7 + -15 + -12 + -7 + 6r + -12r = 0 Combine like terms: 7 + -15 = -8 -8 + -12 + -7 + 6r + -12r = 0 Combine like terms: -8 + -12 = -20 -20 + -7 + 6r + -12r = 0 Combine like terms: -20 + -7 = -27 -27 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -27 + -6r = 0 Solving -27 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -6r = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -6r = 0 + 27 -6r = 0 + 27 Combine like terms: 0 + 27 = 27 -6r = 27 Divide each side by '-6'. r = -4.5 Simplifying r = -4.5
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