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Simplifying 3(2h + -6) + -1(-3a + -1) = 4a + -2 Reorder the terms: 3(-6 + 2h) + -1(-3a + -1) = 4a + -2 (-6 * 3 + 2h * 3) + -1(-3a + -1) = 4a + -2 (-18 + 6h) + -1(-3a + -1) = 4a + -2 Reorder the terms: -18 + 6h + -1(-1 + -3a) = 4a + -2 -18 + 6h + (-1 * -1 + -3a * -1) = 4a + -2 -18 + 6h + (1 + 3a) = 4a + -2 Reorder the terms: -18 + 1 + 3a + 6h = 4a + -2 Combine like terms: -18 + 1 = -17 -17 + 3a + 6h = 4a + -2 Reorder the terms: -17 + 3a + 6h = -2 + 4a Solving -17 + 3a + 6h = -2 + 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. -17 + 3a + -4a + 6h = -2 + 4a + -4a Combine like terms: 3a + -4a = -1a -17 + -1a + 6h = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 -17 + -1a + 6h = -2 + 0 -17 + -1a + 6h = -2 Add '17' to each side of the equation. -17 + -1a + 17 + 6h = -2 + 17 Reorder the terms: -17 + 17 + -1a + 6h = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -1a + 6h = -2 + 17 -1a + 6h = -2 + 17 Combine like terms: -2 + 17 = 15 -1a + 6h = 15 Add '-6h' to each side of the equation. -1a + 6h + -6h = 15 + -6h Combine like terms: 6h + -6h = 0 -1a + 0 = 15 + -6h -1a = 15 + -6h Divide each side by '-1'. a = -15 + 6h Simplifying a = -15 + 6h
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