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Simplifying -7(-7r + -7) + 4(1 + -1r) = -37 Reorder the terms: -7(-7 + -7r) + 4(1 + -1r) = -37 (-7 * -7 + -7r * -7) + 4(1 + -1r) = -37 (49 + 49r) + 4(1 + -1r) = -37 49 + 49r + (1 * 4 + -1r * 4) = -37 49 + 49r + (4 + -4r) = -37 Reorder the terms: 49 + 4 + 49r + -4r = -37 Combine like terms: 49 + 4 = 53 53 + 49r + -4r = -37 Combine like terms: 49r + -4r = 45r 53 + 45r = -37 Solving 53 + 45r = -37 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 45r = -37 + -53 Combine like terms: 53 + -53 = 0 0 + 45r = -37 + -53 45r = -37 + -53 Combine like terms: -37 + -53 = -90 45r = -90 Divide each side by '45'. r = -2 Simplifying r = -2
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