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Simplifying 37 + -3r = 8(2r + 7) Reorder the terms: 37 + -3r = 8(7 + 2r) 37 + -3r = (7 * 8 + 2r * 8) 37 + -3r = (56 + 16r) Solving 37 + -3r = 56 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. 37 + -3r + -16r = 56 + 16r + -16r Combine like terms: -3r + -16r = -19r 37 + -19r = 56 + 16r + -16r Combine like terms: 16r + -16r = 0 37 + -19r = 56 + 0 37 + -19r = 56 Add '-37' to each side of the equation. 37 + -37 + -19r = 56 + -37 Combine like terms: 37 + -37 = 0 0 + -19r = 56 + -37 -19r = 56 + -37 Combine like terms: 56 + -37 = 19 -19r = 19 Divide each side by '-19'. r = -1 Simplifying r = -1
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