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Simplifying -1(-3r + 2) + -5(1 + 6r) = 47 Reorder the terms: -1(2 + -3r) + -5(1 + 6r) = 47 (2 * -1 + -3r * -1) + -5(1 + 6r) = 47 (-2 + 3r) + -5(1 + 6r) = 47 -2 + 3r + (1 * -5 + 6r * -5) = 47 -2 + 3r + (-5 + -30r) = 47 Reorder the terms: -2 + -5 + 3r + -30r = 47 Combine like terms: -2 + -5 = -7 -7 + 3r + -30r = 47 Combine like terms: 3r + -30r = -27r -7 + -27r = 47 Solving -7 + -27r = 47 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -27r = 47 + 7 Combine like terms: -7 + 7 = 0 0 + -27r = 47 + 7 -27r = 47 + 7 Combine like terms: 47 + 7 = 54 -27r = 54 Divide each side by '-27'. r = -2 Simplifying r = -2
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