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Simplifying -2(3r + 6) + 5(r + -7) = 0 Reorder the terms: -2(6 + 3r) + 5(r + -7) = 0 (6 * -2 + 3r * -2) + 5(r + -7) = 0 (-12 + -6r) + 5(r + -7) = 0 Reorder the terms: -12 + -6r + 5(-7 + r) = 0 -12 + -6r + (-7 * 5 + r * 5) = 0 -12 + -6r + (-35 + 5r) = 0 Reorder the terms: -12 + -35 + -6r + 5r = 0 Combine like terms: -12 + -35 = -47 -47 + -6r + 5r = 0 Combine like terms: -6r + 5r = -1r -47 + -1r = 0 Solving -47 + -1r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -1r = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -1r = 0 + 47 -1r = 0 + 47 Combine like terms: 0 + 47 = 47 -1r = 47 Divide each side by '-1'. r = -47 Simplifying r = -47
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