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Simplifying 10 + -1(3a + 6) = 4(20a + -5) + 13a Reorder the terms: 10 + -1(6 + 3a) = 4(20a + -5) + 13a 10 + (6 * -1 + 3a * -1) = 4(20a + -5) + 13a 10 + (-6 + -3a) = 4(20a + -5) + 13a Combine like terms: 10 + -6 = 4 4 + -3a = 4(20a + -5) + 13a Reorder the terms: 4 + -3a = 4(-5 + 20a) + 13a 4 + -3a = (-5 * 4 + 20a * 4) + 13a 4 + -3a = (-20 + 80a) + 13a Combine like terms: 80a + 13a = 93a 4 + -3a = -20 + 93a Solving 4 + -3a = -20 + 93a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-93a' to each side of the equation. 4 + -3a + -93a = -20 + 93a + -93a Combine like terms: -3a + -93a = -96a 4 + -96a = -20 + 93a + -93a Combine like terms: 93a + -93a = 0 4 + -96a = -20 + 0 4 + -96a = -20 Add '-4' to each side of the equation. 4 + -4 + -96a = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -96a = -20 + -4 -96a = -20 + -4 Combine like terms: -20 + -4 = -24 -96a = -24 Divide each side by '-96'. a = 0.25 Simplifying a = 0.25
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