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Simplifying 2a + 2(a + -4) = 8(2a + -3) + 3a Reorder the terms: 2a + 2(-4 + a) = 8(2a + -3) + 3a 2a + (-4 * 2 + a * 2) = 8(2a + -3) + 3a 2a + (-8 + 2a) = 8(2a + -3) + 3a Reorder the terms: -8 + 2a + 2a = 8(2a + -3) + 3a Combine like terms: 2a + 2a = 4a -8 + 4a = 8(2a + -3) + 3a Reorder the terms: -8 + 4a = 8(-3 + 2a) + 3a -8 + 4a = (-3 * 8 + 2a * 8) + 3a -8 + 4a = (-24 + 16a) + 3a Combine like terms: 16a + 3a = 19a -8 + 4a = -24 + 19a Solving -8 + 4a = -24 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -8 + 4a + -19a = -24 + 19a + -19a Combine like terms: 4a + -19a = -15a -8 + -15a = -24 + 19a + -19a Combine like terms: 19a + -19a = 0 -8 + -15a = -24 + 0 -8 + -15a = -24 Add '8' to each side of the equation. -8 + 8 + -15a = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -15a = -24 + 8 -15a = -24 + 8 Combine like terms: -24 + 8 = -16 -15a = -16 Divide each side by '-15'. a = 1.066666667 Simplifying a = 1.066666667
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