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Simplifying 7(a) + -6 = 16(a + -2) Reorder the terms: -6 + 7a = 16(a + -2) Reorder the terms: -6 + 7a = 16(-2 + a) -6 + 7a = (-2 * 16 + a * 16) -6 + 7a = (-32 + 16a) Solving -6 + 7a = -32 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -6 + 7a + -16a = -32 + 16a + -16a Combine like terms: 7a + -16a = -9a -6 + -9a = -32 + 16a + -16a Combine like terms: 16a + -16a = 0 -6 + -9a = -32 + 0 -6 + -9a = -32 Add '6' to each side of the equation. -6 + 6 + -9a = -32 + 6 Combine like terms: -6 + 6 = 0 0 + -9a = -32 + 6 -9a = -32 + 6 Combine like terms: -32 + 6 = -26 -9a = -26 Divide each side by '-9'. a = 2.888888889 Simplifying a = 2.888888889
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