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Simplifying 4(a + -3) * 2 = 3a + -19 Reorder the terms: 4(-3 + a) * 2 = 3a + -19 Reorder the terms for easier multiplication: 4 * 2(-3 + a) = 3a + -19 Multiply 4 * 2 8(-3 + a) = 3a + -19 (-3 * 8 + a * 8) = 3a + -19 (-24 + 8a) = 3a + -19 Reorder the terms: -24 + 8a = -19 + 3a Solving -24 + 8a = -19 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -24 + 8a + -3a = -19 + 3a + -3a Combine like terms: 8a + -3a = 5a -24 + 5a = -19 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 5a = -19 + 0 -24 + 5a = -19 Add '24' to each side of the equation. -24 + 24 + 5a = -19 + 24 Combine like terms: -24 + 24 = 0 0 + 5a = -19 + 24 5a = -19 + 24 Combine like terms: -19 + 24 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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