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Simplifying 6(5a + 8) = -19 + 2a Reorder the terms: 6(8 + 5a) = -19 + 2a (8 * 6 + 5a * 6) = -19 + 2a (48 + 30a) = -19 + 2a Solving 48 + 30a = -19 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 48 + 30a + -2a = -19 + 2a + -2a Combine like terms: 30a + -2a = 28a 48 + 28a = -19 + 2a + -2a Combine like terms: 2a + -2a = 0 48 + 28a = -19 + 0 48 + 28a = -19 Add '-48' to each side of the equation. 48 + -48 + 28a = -19 + -48 Combine like terms: 48 + -48 = 0 0 + 28a = -19 + -48 28a = -19 + -48 Combine like terms: -19 + -48 = -67 28a = -67 Divide each side by '28'. a = -2.392857143 Simplifying a = -2.392857143
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