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Simplifying 38 + 7r = 5(-8 + 4r) 38 + 7r = (-8 * 5 + 4r * 5) 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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