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Simplifying -5(3r + 8) = -5r + -40 Reorder the terms: -5(8 + 3r) = -5r + -40 (8 * -5 + 3r * -5) = -5r + -40 (-40 + -15r) = -5r + -40 Reorder the terms: -40 + -15r = -40 + -5r Add '40' to each side of the equation. -40 + 40 + -15r = -40 + 40 + -5r Combine like terms: -40 + 40 = 0 0 + -15r = -40 + 40 + -5r -15r = -40 + 40 + -5r Combine like terms: -40 + 40 = 0 -15r = 0 + -5r -15r = -5r Solving -15r = -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -15r + 5r = -5r + 5r Combine like terms: -15r + 5r = -10r -10r = -5r + 5r Combine like terms: -5r + 5r = 0 -10r = 0 Divide each side by '-10'. r = 0.0 Simplifying r = 0.0
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