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Simplifying -5(1 + 3a) + -5 = 38 + -7a (1 * -5 + 3a * -5) + -5 = 38 + -7a (-5 + -15a) + -5 = 38 + -7a Reorder the terms: -5 + -5 + -15a = 38 + -7a Combine like terms: -5 + -5 = -10 -10 + -15a = 38 + -7a Solving -10 + -15a = 38 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -10 + -15a + 7a = 38 + -7a + 7a Combine like terms: -15a + 7a = -8a -10 + -8a = 38 + -7a + 7a Combine like terms: -7a + 7a = 0 -10 + -8a = 38 + 0 -10 + -8a = 38 Add '10' to each side of the equation. -10 + 10 + -8a = 38 + 10 Combine like terms: -10 + 10 = 0 0 + -8a = 38 + 10 -8a = 38 + 10 Combine like terms: 38 + 10 = 48 -8a = 48 Divide each side by '-8'. a = -6 Simplifying a = -6
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