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Simplifying -4(3a + 8) = -19 + -7a Reorder the terms: -4(8 + 3a) = -19 + -7a (8 * -4 + 3a * -4) = -19 + -7a (-32 + -12a) = -19 + -7a Solving -32 + -12a = -19 + -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. -32 + -12a + 7a = -19 + -7a + 7a Combine like terms: -12a + 7a = -5a -32 + -5a = -19 + -7a + 7a Combine like terms: -7a + 7a = 0 -32 + -5a = -19 + 0 -32 + -5a = -19 Add '32' to each side of the equation. -32 + 32 + -5a = -19 + 32 Combine like terms: -32 + 32 = 0 0 + -5a = -19 + 32 -5a = -19 + 32 Combine like terms: -19 + 32 = 13 -5a = 13 Divide each side by '-5'. a = -2.6 Simplifying a = -2.6
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