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Simplifying -28 + -6.7a = 0.7a + -3(6a + 4) Reorder the terms: -28 + -6.7a = 0.7a + -3(4 + 6a) -28 + -6.7a = 0.7a + (4 * -3 + 6a * -3) -28 + -6.7a = 0.7a + (-12 + -18a) Reorder the terms: -28 + -6.7a = -12 + 0.7a + -18a Combine like terms: 0.7a + -18a = -17.3a -28 + -6.7a = -12 + -17.3a Solving -28 + -6.7a = -12 + -17.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17.3a' to each side of the equation. -28 + -6.7a + 17.3a = -12 + -17.3a + 17.3a Combine like terms: -6.7a + 17.3a = 10.6a -28 + 10.6a = -12 + -17.3a + 17.3a Combine like terms: -17.3a + 17.3a = 0.0 -28 + 10.6a = -12 + 0.0 -28 + 10.6a = -12 Add '28' to each side of the equation. -28 + 28 + 10.6a = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 10.6a = -12 + 28 10.6a = -12 + 28 Combine like terms: -12 + 28 = 16 10.6a = 16 Divide each side by '10.6'. a = 1.509433962 Simplifying a = 1.509433962
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