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Simplifying 30a + 14.8 = 38(a + -1) Reorder the terms: 14.8 + 30a = 38(a + -1) Reorder the terms: 14.8 + 30a = 38(-1 + a) 14.8 + 30a = (-1 * 38 + a * 38) 14.8 + 30a = (-38 + 38a) Solving 14.8 + 30a = -38 + 38a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38a' to each side of the equation. 14.8 + 30a + -38a = -38 + 38a + -38a Combine like terms: 30a + -38a = -8a 14.8 + -8a = -38 + 38a + -38a Combine like terms: 38a + -38a = 0 14.8 + -8a = -38 + 0 14.8 + -8a = -38 Add '-14.8' to each side of the equation. 14.8 + -14.8 + -8a = -38 + -14.8 Combine like terms: 14.8 + -14.8 = 0.0 0.0 + -8a = -38 + -14.8 -8a = -38 + -14.8 Combine like terms: -38 + -14.8 = -52.8 -8a = -52.8 Divide each side by '-8'. a = 6.6 Simplifying a = 6.6
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