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Simplifying 5(3a + -2) = 4(3a + -1) Reorder the terms: 5(-2 + 3a) = 4(3a + -1) (-2 * 5 + 3a * 5) = 4(3a + -1) (-10 + 15a) = 4(3a + -1) Reorder the terms: -10 + 15a = 4(-1 + 3a) -10 + 15a = (-1 * 4 + 3a * 4) -10 + 15a = (-4 + 12a) Solving -10 + 15a = -4 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -10 + 15a + -12a = -4 + 12a + -12a Combine like terms: 15a + -12a = 3a -10 + 3a = -4 + 12a + -12a Combine like terms: 12a + -12a = 0 -10 + 3a = -4 + 0 -10 + 3a = -4 Add '10' to each side of the equation. -10 + 10 + 3a = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = -4 + 10 3a = -4 + 10 Combine like terms: -4 + 10 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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