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Simplifying -37 + 4r = 2 + -5(4 + 3r) -37 + 4r = 2 + (4 * -5 + 3r * -5) -37 + 4r = 2 + (-20 + -15r) Combine like terms: 2 + -20 = -18 -37 + 4r = -18 + -15r Solving -37 + 4r = -18 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -37 + 4r + 15r = -18 + -15r + 15r Combine like terms: 4r + 15r = 19r -37 + 19r = -18 + -15r + 15r Combine like terms: -15r + 15r = 0 -37 + 19r = -18 + 0 -37 + 19r = -18 Add '37' to each side of the equation. -37 + 37 + 19r = -18 + 37 Combine like terms: -37 + 37 = 0 0 + 19r = -18 + 37 19r = -18 + 37 Combine like terms: -18 + 37 = 19 19r = 19 Divide each side by '19'. r = 1 Simplifying r = 1
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