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Simplifying 6a(-5 + 3) + -14 = 6a + -12 + 25 Combine like terms: -5 + 3 = -2 6a(-2) + -14 = 6a + -12 + 25 Reorder the terms for easier multiplication: 6 * -2a + -14 = 6a + -12 + 25 Multiply 6 * -2 -12a + -14 = 6a + -12 + 25 Reorder the terms: -14 + -12a = 6a + -12 + 25 Reorder the terms: -14 + -12a = -12 + 25 + 6a Combine like terms: -12 + 25 = 13 -14 + -12a = 13 + 6a Solving -14 + -12a = 13 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -14 + -12a + -6a = 13 + 6a + -6a Combine like terms: -12a + -6a = -18a -14 + -18a = 13 + 6a + -6a Combine like terms: 6a + -6a = 0 -14 + -18a = 13 + 0 -14 + -18a = 13 Add '14' to each side of the equation. -14 + 14 + -18a = 13 + 14 Combine like terms: -14 + 14 = 0 0 + -18a = 13 + 14 -18a = 13 + 14 Combine like terms: 13 + 14 = 27 -18a = 27 Divide each side by '-18'. a = -1.5 Simplifying a = -1.5
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