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Simplifying 38 + -7r = -4r + -8(2r + 5) Reorder the terms: 38 + -7r = -4r + -8(5 + 2r) 38 + -7r = -4r + (5 * -8 + 2r * -8) 38 + -7r = -4r + (-40 + -16r) Reorder the terms: 38 + -7r = -40 + -4r + -16r Combine like terms: -4r + -16r = -20r 38 + -7r = -40 + -20r Solving 38 + -7r = -40 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. 38 + -7r + 20r = -40 + -20r + 20r Combine like terms: -7r + 20r = 13r 38 + 13r = -40 + -20r + 20r Combine like terms: -20r + 20r = 0 38 + 13r = -40 + 0 38 + 13r = -40 Add '-38' to each side of the equation. 38 + -38 + 13r = -40 + -38 Combine like terms: 38 + -38 = 0 0 + 13r = -40 + -38 13r = -40 + -38 Combine like terms: -40 + -38 = -78 13r = -78 Divide each side by '13'. r = -6 Simplifying r = -6
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