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Simplifying 2a + 3(a + -7) + -10 = 4 Reorder the terms: 2a + 3(-7 + a) + -10 = 4 2a + (-7 * 3 + a * 3) + -10 = 4 2a + (-21 + 3a) + -10 = 4 Reorder the terms: -21 + -10 + 2a + 3a = 4 Combine like terms: -21 + -10 = -31 -31 + 2a + 3a = 4 Combine like terms: 2a + 3a = 5a -31 + 5a = 4 Solving -31 + 5a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 5a = 4 + 31 Combine like terms: -31 + 31 = 0 0 + 5a = 4 + 31 5a = 4 + 31 Combine like terms: 4 + 31 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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