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Simplifying 14a + -7(a + 1) = 2(a + -4) Reorder the terms: 14a + -7(1 + a) = 2(a + -4) 14a + (1 * -7 + a * -7) = 2(a + -4) 14a + (-7 + -7a) = 2(a + -4) Reorder the terms: -7 + 14a + -7a = 2(a + -4) Combine like terms: 14a + -7a = 7a -7 + 7a = 2(a + -4) Reorder the terms: -7 + 7a = 2(-4 + a) -7 + 7a = (-4 * 2 + a * 2) -7 + 7a = (-8 + 2a) Solving -7 + 7a = -8 + 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. -7 + 7a + -2a = -8 + 2a + -2a Combine like terms: 7a + -2a = 5a -7 + 5a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + 5a = -8 + 0 -7 + 5a = -8 Add '7' to each side of the equation. -7 + 7 + 5a = -8 + 7 Combine like terms: -7 + 7 = 0 0 + 5a = -8 + 7 5a = -8 + 7 Combine like terms: -8 + 7 = -1 5a = -1 Divide each side by '5'. a = -0.2 Simplifying a = -0.2
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