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Simplifying 6 + 3(2r + -8) + -3(4r + 4) + -10 = 0 Reorder the terms: 6 + 3(-8 + 2r) + -3(4r + 4) + -10 = 0 6 + (-8 * 3 + 2r * 3) + -3(4r + 4) + -10 = 0 6 + (-24 + 6r) + -3(4r + 4) + -10 = 0 Reorder the terms: 6 + -24 + 6r + -3(4 + 4r) + -10 = 0 6 + -24 + 6r + (4 * -3 + 4r * -3) + -10 = 0 6 + -24 + 6r + (-12 + -12r) + -10 = 0 Reorder the terms: 6 + -24 + -12 + -10 + 6r + -12r = 0 Combine like terms: 6 + -24 = -18 -18 + -12 + -10 + 6r + -12r = 0 Combine like terms: -18 + -12 = -30 -30 + -10 + 6r + -12r = 0 Combine like terms: -30 + -10 = -40 -40 + 6r + -12r = 0 Combine like terms: 6r + -12r = -6r -40 + -6r = 0 Solving -40 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -6r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -6r = 0 + 40 -6r = 0 + 40 Combine like terms: 0 + 40 = 40 -6r = 40 Divide each side by '-6'. r = -6.666666667 Simplifying r = -6.666666667
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