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Simplifying 6[3a + -3 + -3(a + 1)] = -5a + 5 Reorder the terms: 6[3a + -3 + -3(1 + a)] = -5a + 5 6[3a + -3 + (1 * -3 + a * -3)] = -5a + 5 6[3a + -3 + (-3 + -3a)] = -5a + 5 Reorder the terms: 6[-3 + -3 + 3a + -3a] = -5a + 5 Combine like terms: -3 + -3 = -6 6[-6 + 3a + -3a] = -5a + 5 Combine like terms: 3a + -3a = 0 6[-6 + 0] = -5a + 5 6[-6] = -5a + 5 Multiply 6 * -6 -36 = -5a + 5 Reorder the terms: -36 = 5 + -5a Solving -36 = 5 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -36 + 5a = 5 + -5a + 5a Combine like terms: -5a + 5a = 0 -36 + 5a = 5 + 0 -36 + 5a = 5 Add '36' to each side of the equation. -36 + 36 + 5a = 5 + 36 Combine like terms: -36 + 36 = 0 0 + 5a = 5 + 36 5a = 5 + 36 Combine like terms: 5 + 36 = 41 5a = 41 Divide each side by '5'. a = 8.2 Simplifying a = 8.2
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