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Simplifying 6 + 4(-6r + -3) = -78 Reorder the terms: 6 + 4(-3 + -6r) = -78 6 + (-3 * 4 + -6r * 4) = -78 6 + (-12 + -24r) = -78 Combine like terms: 6 + -12 = -6 -6 + -24r = -78 Solving -6 + -24r = -78 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -24r = -78 + 6 Combine like terms: -6 + 6 = 0 0 + -24r = -78 + 6 -24r = -78 + 6 Combine like terms: -78 + 6 = -72 -24r = -72 Divide each side by '-24'. r = 3 Simplifying r = 3
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