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Simplifying 4a + -3(2a + 2) = 4a + -10(a + -1) Reorder the terms: 4a + -3(2 + 2a) = 4a + -10(a + -1) 4a + (2 * -3 + 2a * -3) = 4a + -10(a + -1) 4a + (-6 + -6a) = 4a + -10(a + -1) Reorder the terms: -6 + 4a + -6a = 4a + -10(a + -1) Combine like terms: 4a + -6a = -2a -6 + -2a = 4a + -10(a + -1) Reorder the terms: -6 + -2a = 4a + -10(-1 + a) -6 + -2a = 4a + (-1 * -10 + a * -10) -6 + -2a = 4a + (10 + -10a) Reorder the terms: -6 + -2a = 10 + 4a + -10a Combine like terms: 4a + -10a = -6a -6 + -2a = 10 + -6a Solving -6 + -2a = 10 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -6 + -2a + 6a = 10 + -6a + 6a Combine like terms: -2a + 6a = 4a -6 + 4a = 10 + -6a + 6a Combine like terms: -6a + 6a = 0 -6 + 4a = 10 + 0 -6 + 4a = 10 Add '6' to each side of the equation. -6 + 6 + 4a = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 10 + 6 4a = 10 + 6 Combine like terms: 10 + 6 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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