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Simplifying 4(4t + -22) + -6 = 106 Reorder the terms: 4(-22 + 4t) + -6 = 106 (-22 * 4 + 4t * 4) + -6 = 106 (-88 + 16t) + -6 = 106 Reorder the terms: -88 + -6 + 16t = 106 Combine like terms: -88 + -6 = -94 -94 + 16t = 106 Solving -94 + 16t = 106 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + 16t = 106 + 94 Combine like terms: -94 + 94 = 0 0 + 16t = 106 + 94 16t = 106 + 94 Combine like terms: 106 + 94 = 200 16t = 200 Divide each side by '16'. t = 12.5 Simplifying t = 12.5
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