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Simplifying 37 + 6r = -7(1 + 5r) + -3r 37 + 6r = (1 * -7 + 5r * -7) + -3r 37 + 6r = (-7 + -35r) + -3r Combine like terms: -35r + -3r = -38r 37 + 6r = -7 + -38r Solving 37 + 6r = -7 + -38r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '38r' to each side of the equation. 37 + 6r + 38r = -7 + -38r + 38r Combine like terms: 6r + 38r = 44r 37 + 44r = -7 + -38r + 38r Combine like terms: -38r + 38r = 0 37 + 44r = -7 + 0 37 + 44r = -7 Add '-37' to each side of the equation. 37 + -37 + 44r = -7 + -37 Combine like terms: 37 + -37 = 0 0 + 44r = -7 + -37 44r = -7 + -37 Combine like terms: -7 + -37 = -44 44r = -44 Divide each side by '44'. r = -1 Simplifying r = -1
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