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Simplifying 4(3a + -1) = 10 + -1(a + 3) Reorder the terms: 4(-1 + 3a) = 10 + -1(a + 3) (-1 * 4 + 3a * 4) = 10 + -1(a + 3) (-4 + 12a) = 10 + -1(a + 3) Reorder the terms: -4 + 12a = 10 + -1(3 + a) -4 + 12a = 10 + (3 * -1 + a * -1) -4 + 12a = 10 + (-3 + -1a) Combine like terms: 10 + -3 = 7 -4 + 12a = 7 + -1a Solving -4 + 12a = 7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -4 + 12a + a = 7 + -1a + a Combine like terms: 12a + a = 13a -4 + 13a = 7 + -1a + a Combine like terms: -1a + a = 0 -4 + 13a = 7 + 0 -4 + 13a = 7 Add '4' to each side of the equation. -4 + 4 + 13a = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 13a = 7 + 4 13a = 7 + 4 Combine like terms: 7 + 4 = 11 13a = 11 Divide each side by '13'. a = 0.8461538462 Simplifying a = 0.8461538462
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