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Simplifying 3(2a + -6) + -1(2h + 1) = 9 Reorder the terms: 3(-6 + 2a) + -1(2h + 1) = 9 (-6 * 3 + 2a * 3) + -1(2h + 1) = 9 (-18 + 6a) + -1(2h + 1) = 9 Reorder the terms: -18 + 6a + -1(1 + 2h) = 9 -18 + 6a + (1 * -1 + 2h * -1) = 9 -18 + 6a + (-1 + -2h) = 9 Reorder the terms: -18 + -1 + 6a + -2h = 9 Combine like terms: -18 + -1 = -19 -19 + 6a + -2h = 9 Solving -19 + 6a + -2h = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 6a + 19 + -2h = 9 + 19 Reorder the terms: -19 + 19 + 6a + -2h = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 6a + -2h = 9 + 19 6a + -2h = 9 + 19 Combine like terms: 9 + 19 = 28 6a + -2h = 28 Add '2h' to each side of the equation. 6a + -2h + 2h = 28 + 2h Combine like terms: -2h + 2h = 0 6a + 0 = 28 + 2h 6a = 28 + 2h Divide each side by '6'. a = 4.666666667 + 0.3333333333h Simplifying a = 4.666666667 + 0.3333333333h
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