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Simplifying 7(4h + 1) + -2(2a + -3) = -23 Reorder the terms: 7(1 + 4h) + -2(2a + -3) = -23 (1 * 7 + 4h * 7) + -2(2a + -3) = -23 (7 + 28h) + -2(2a + -3) = -23 Reorder the terms: 7 + 28h + -2(-3 + 2a) = -23 7 + 28h + (-3 * -2 + 2a * -2) = -23 7 + 28h + (6 + -4a) = -23 Reorder the terms: 7 + 6 + -4a + 28h = -23 Combine like terms: 7 + 6 = 13 13 + -4a + 28h = -23 Solving 13 + -4a + 28h = -23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -4a + -13 + 28h = -23 + -13 Reorder the terms: 13 + -13 + -4a + 28h = -23 + -13 Combine like terms: 13 + -13 = 0 0 + -4a + 28h = -23 + -13 -4a + 28h = -23 + -13 Combine like terms: -23 + -13 = -36 -4a + 28h = -36 Add '-28h' to each side of the equation. -4a + 28h + -28h = -36 + -28h Combine like terms: 28h + -28h = 0 -4a + 0 = -36 + -28h -4a = -36 + -28h Divide each side by '-4'. a = 9 + 7h Simplifying a = 9 + 7h
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