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Simplifying 3 + 3(2r + -4) + -3(4r + 4) + -7 = 0 Reorder the terms: 3 + 3(-4 + 2r) + -3(4r + 4) + -7 = 0 3 + (-4 * 3 + 2r * 3) + -3(4r + 4) + -7 = 0 3 + (-12 + 6r) + -3(4r + 4) + -7 = 0 Reorder the terms: 3 + -12 + 6r + -3(4 + 4r) + -7 = 0 3 + -12 + 6r + (4 * -3 + 4r * -3) + -7 = 0 3 + -12 + 6r + (-12 + -12r) + -7 = 0 Reorder the terms: 3 + -12 + -12 + -7 + 6r + -12r = 0 Combine like terms: 3 + -12 = -9 -9 + -12 + -7 + 6r + -12r = 0 Combine like terms: -9 + -12 = -21 -21 + -7 + 6r + -12r = 0 Combine like terms: -21 + -7 = -28 -28 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -28 + -6r = 0 Solving -28 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -6r = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -6r = 0 + 28 -6r = 0 + 28 Combine like terms: 0 + 28 = 28 -6r = 28 Divide each side by '-6'. r = -4.666666667 Simplifying r = -4.666666667
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