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Simplifying 10(3a + -4) = -5(4a + -3) + -5a Reorder the terms: 10(-4 + 3a) = -5(4a + -3) + -5a (-4 * 10 + 3a * 10) = -5(4a + -3) + -5a (-40 + 30a) = -5(4a + -3) + -5a Reorder the terms: -40 + 30a = -5(-3 + 4a) + -5a -40 + 30a = (-3 * -5 + 4a * -5) + -5a -40 + 30a = (15 + -20a) + -5a Combine like terms: -20a + -5a = -25a -40 + 30a = 15 + -25a Solving -40 + 30a = 15 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. -40 + 30a + 25a = 15 + -25a + 25a Combine like terms: 30a + 25a = 55a -40 + 55a = 15 + -25a + 25a Combine like terms: -25a + 25a = 0 -40 + 55a = 15 + 0 -40 + 55a = 15 Add '40' to each side of the equation. -40 + 40 + 55a = 15 + 40 Combine like terms: -40 + 40 = 0 0 + 55a = 15 + 40 55a = 15 + 40 Combine like terms: 15 + 40 = 55 55a = 55 Divide each side by '55'. a = 1 Simplifying a = 1
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