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Simplifying 37 + -8r = -3 + -8(3r + 5) Reorder the terms: 37 + -8r = -3 + -8(5 + 3r) 37 + -8r = -3 + (5 * -8 + 3r * -8) 37 + -8r = -3 + (-40 + -24r) Combine like terms: -3 + -40 = -43 37 + -8r = -43 + -24r Solving 37 + -8r = -43 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 37 + -8r + 24r = -43 + -24r + 24r Combine like terms: -8r + 24r = 16r 37 + 16r = -43 + -24r + 24r Combine like terms: -24r + 24r = 0 37 + 16r = -43 + 0 37 + 16r = -43 Add '-37' to each side of the equation. 37 + -37 + 16r = -43 + -37 Combine like terms: 37 + -37 = 0 0 + 16r = -43 + -37 16r = -43 + -37 Combine like terms: -43 + -37 = -80 16r = -80 Divide each side by '16'. r = -5 Simplifying r = -5
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