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