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Simplifying -5(3r + 8) + -3(2r + -10) = 0 Reorder the terms: -5(8 + 3r) + -3(2r + -10) = 0 (8 * -5 + 3r * -5) + -3(2r + -10) = 0 (-40 + -15r) + -3(2r + -10) = 0 Reorder the terms: -40 + -15r + -3(-10 + 2r) = 0 -40 + -15r + (-10 * -3 + 2r * -3) = 0 -40 + -15r + (30 + -6r) = 0 Reorder the terms: -40 + 30 + -15r + -6r = 0 Combine like terms: -40 + 30 = -10 -10 + -15r + -6r = 0 Combine like terms: -15r + -6r = -21r -10 + -21r = 0 Solving -10 + -21r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -21r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -21r = 0 + 10 -21r = 0 + 10 Combine like terms: 0 + 10 = 10 -21r = 10 Divide each side by '-21'. r = -0.4761904762 Simplifying r = -0.4761904762
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