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Simplifying 42 + -4t = 12 + 6t Solving 42 + -4t = 12 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 42 + -4t + -6t = 12 + 6t + -6t Combine like terms: -4t + -6t = -10t 42 + -10t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 42 + -10t = 12 + 0 42 + -10t = 12 Add '-42' to each side of the equation. 42 + -42 + -10t = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -10t = 12 + -42 -10t = 12 + -42 Combine like terms: 12 + -42 = -30 -10t = -30 Divide each side by '-10'. t = 3 Simplifying t = 3
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