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Simplifying 10(3a + -4) = -5(4a + -3) + -5 Reorder the terms: 10(-4 + 3a) = -5(4a + -3) + -5 (-4 * 10 + 3a * 10) = -5(4a + -3) + -5 (-40 + 30a) = -5(4a + -3) + -5 Reorder the terms: -40 + 30a = -5(-3 + 4a) + -5 -40 + 30a = (-3 * -5 + 4a * -5) + -5 -40 + 30a = (15 + -20a) + -5 Reorder the terms: -40 + 30a = 15 + -5 + -20a Combine like terms: 15 + -5 = 10 -40 + 30a = 10 + -20a Solving -40 + 30a = 10 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -40 + 30a + 20a = 10 + -20a + 20a Combine like terms: 30a + 20a = 50a -40 + 50a = 10 + -20a + 20a Combine like terms: -20a + 20a = 0 -40 + 50a = 10 + 0 -40 + 50a = 10 Add '40' to each side of the equation. -40 + 40 + 50a = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 50a = 10 + 40 50a = 10 + 40 Combine like terms: 10 + 40 = 50 50a = 50 Divide each side by '50'. a = 1 Simplifying a = 1
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