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Simplifying -7(1 + a) + -7(a + 3) = 42 (1 * -7 + a * -7) + -7(a + 3) = 42 (-7 + -7a) + -7(a + 3) = 42 Reorder the terms: -7 + -7a + -7(3 + a) = 42 -7 + -7a + (3 * -7 + a * -7) = 42 -7 + -7a + (-21 + -7a) = 42 Reorder the terms: -7 + -21 + -7a + -7a = 42 Combine like terms: -7 + -21 = -28 -28 + -7a + -7a = 42 Combine like terms: -7a + -7a = -14a -28 + -14a = 42 Solving -28 + -14a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -14a = 42 + 28 Combine like terms: -28 + 28 = 0 0 + -14a = 42 + 28 -14a = 42 + 28 Combine like terms: 42 + 28 = 70 -14a = 70 Divide each side by '-14'. a = -5 Simplifying a = -5
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