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Simplifying 16a + -7(a + 1) = 4(a + -2) Reorder the terms: 16a + -7(1 + a) = 4(a + -2) 16a + (1 * -7 + a * -7) = 4(a + -2) 16a + (-7 + -7a) = 4(a + -2) Reorder the terms: -7 + 16a + -7a = 4(a + -2) Combine like terms: 16a + -7a = 9a -7 + 9a = 4(a + -2) Reorder the terms: -7 + 9a = 4(-2 + a) -7 + 9a = (-2 * 4 + a * 4) -7 + 9a = (-8 + 4a) Solving -7 + 9a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -7 + 9a + -4a = -8 + 4a + -4a Combine like terms: 9a + -4a = 5a -7 + 5a = -8 + 4a + -4a Combine like terms: 4a + -4a = 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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